Topology Seminar Wisconsin, 1965. (AM-60), Volume 60 / / ed. by R. H. Bing, Ralph J. Bean.
During the summer of 1965, an informal seminar in geometric topology was held at the University of Wisconsin under the direction of Professor Bing. Twenty-five of these lectures are included in this study, among them Professor Bing's lecture describing the recent attacks of Haken and Poincaré o...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1967 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
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| Physical Description: | 1 online resource (256 p.) |
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Topology Seminar Wisconsin, 1965. (AM-60), Volume 60 / ed. by R. H. Bing, Ralph J. Bean. Princeton, NJ : Princeton University Press, [2016] ©1967 1 online resource (256 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 60 Frontmatter -- CONTENTS -- PREFACE -- CHAPTER I: 3 -MANIFOLDS -- MONOTONE DECOMPOSITIONS OF E3 -- EQUIVALENT DECOMPOSITIONS OF E3 -- ANOTHER DECOMPOSITION OP E3 INTO POINTS AND INTERVALS -- CRUMPLED CUBES -- SEWINGS OF CRUMPLED CUBES WHICH DO NOT YIELD S3 -- CANONICAL NEIGHBORHOODS IN THREE-MANIFOLDS -- BOUNDARY LINKS -- SURFACES IN E3 -- ADDITIONAL QUESTIONS ON 3-MANIFOLDS -- CHAPTER II: THE POINCARÉ CONJECTURE -- HOW NOT TO PROVE THE POINCARÉ CONJECTURE -- MAPPING A 3 -SPHERE ONTO A HOMOTOPY 3 -SPHERE -- CONCERNING FAKE CUBES -- CHAPTER III -- ON CERTAIN FIRST COUNTABLE SPACES -- REMARKS ON THE NORMAL MOORE SPACE METRIZATION PROBLEM -- TWO CONJECTURES IN POINT SET THEORY -- ALMOST CONTINUOUS FUNCTIONS AND FUNCTIONS OF BAIRE CLASS 1 -- CHAINABLE CONTINUA -- THE EXISTENCE OP A COMPLETE METRIC FOR A SPECIAL MAPPING SPACE AND SOME CONSEQUENCES -- FINITE DIMENSIONAL SUBSETS OF INFINITE DIMENSIONAL SPACES -- TYPES OF ULTRAFILTERS -- ADDITIONAL QUESTIONS ON ABSTRACT SPACES -- CHAPTER IV: N-MANIFOLDS -- TAMING POLYHEDRA IN THE TRIVIAL RANGE -- SOME NICE EMBEDDINGS IN THE TRIVIAL RANGE -- APPROXIMATIONS AND ISOTOPIES IN THE TRIVIAL RANGE -- ON A SPHERICAL EMBEDDINGS OF 2 -SPHERES IN THE 4-SPHERE -- GEOMETRIC CHARACTERIZATION OP DIFFERENTIABLE MANIFOLDS IN EUCLIDEAN SPACE -- WHITEHEAD TORSION AND h-COBORDISM -- ADDITIONAL QUESTIONS ON N-MANIFOLDS -- COMPLETELY REGULAR MAPPINGS, FIBER SPACES, THE WEAK BUNDLE PROPERTIES, AND THE GENERALIZED SLICING STRUCTURE PROPERTIES -- FIBER SPACES AND n-REGULARITY -- FIBER SPACES WIT H TOTALLY PATHWISE DISCONNECTED FIBERS -- SOME QUESTIONS IN THE THEORY OP NORMAL FIBER SPACES FOR TOPOLOGICAL MANIFOLDS restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star During the summer of 1965, an informal seminar in geometric topology was held at the University of Wisconsin under the direction of Professor Bing. Twenty-five of these lectures are included in this study, among them Professor Bing's lecture describing the recent attacks of Haken and Poincaré on the Poincaré conjectures, and sketching a proof of Haken's main result. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Topology Congresses. MATHEMATICS / Topology. bisacsh Abstract algebra. Branch point. Cantor set. Cartesian coordinate system. Cartesian product. Characteristic class. Characterization (mathematics). Cohomology. Commutator subgroup. Compactification (mathematics). Complete metric space. Conjecture. Connected space. Continuous function (set theory). Continuum hypothesis. Countable set. Cube. Cyclic group. Degeneracy (mathematics). Dehn's lemma. Diagram (category theory). Dimension theory (algebra). Dimension. Discrete group. Disk (mathematics). Embedding. Epimorphism. Equilateral triangle. Equivalence class. Equivalence relation. Euclidean space. Existential quantification. Fiber bundle. First-countable space. Fixed-point property. Function (mathematics). Fundamental group. Graph (discrete mathematics). Graph of a function. Grassmannian. H-cobordism. Hausdorff distance. Homeomorphism. Homotopy group. Homotopy. Hypercube. Hyperplane. Inclusion map. Inner automorphism. Intersection (set theory). Interval (mathematics). Inverse limit. Jordan curve theorem. K-cell (mathematics). Knot theory. Lexicographical order. Limit ordinal. Limit point. Line (geometry). Linear extension. Loop theorem. Mathematical induction. Mean value theorem. Metric space. Metrization theorem. Module (mathematics). Moore space. N-connected. N-sphere. Natural number. Neighbourhood (mathematics). Non-Euclidean geometry. Normal subgroup. Open set. Order topology. Orthogonal group. P-adic number. Poincaré conjecture. Polyhedron. Projection (linear algebra). Projection (mathematics). Projective line. Rectangle. Scientific notation. Semi-locally simply connected. Sign (mathematics). Simply connected space. Special case. Sphere theorem (3-manifolds). Submanifold. Subset. Summation. Tangent space. Theorem. Topological graph. Topological space. Two-dimensional space. Ultrafilter. Unit interval. Upper half-plane. Armentrout, Steve, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bean, Ralph J., editor. edt http://id.loc.gov/vocabulary/relators/edt Bing, R. H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bing, R. H., editor. edt http://id.loc.gov/vocabulary/relators/edt Bryant, John L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Burgess, C. E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Connor, A. C., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Dancis, Jerome, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Fadell, E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Fugate, J. B., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Giffen, Charles H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gluck, Herman, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Heath, R. W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Henderson, David W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Jones, P. Burton, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lininger, L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lininger, Lloyd L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Martin, Joseph, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb McAuley, L. F., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb McAuley, Louis F., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb McMillan, D. R., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Meyer, Donald V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Rudin, Mary Ellen, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Smythe, N., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Stallings, John, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Szczarba, R. H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Thomas, E. S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Tulley, P. A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ungar, Gerald S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Younglove, J. N., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691080567 https://doi.org/10.1515/9781400882076 https://www.degruyter.com/isbn/9781400882076 Cover https://www.degruyter.com/document/cover/isbn/9781400882076/original |
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Armentrout, Steve, Armentrout, Steve, Bean, Ralph J., Bean, Ralph J., Bing, R. H., Bing, R. H., Bing, R. H., Bing, R. H., Bryant, John L., Bryant, John L., Burgess, C. E., Burgess, C. E., Connor, A. C., Connor, A. C., Dancis, Jerome, Dancis, Jerome, Fadell, E., Fadell, E., Fugate, J. B., Fugate, J. B., Giffen, Charles H., Giffen, Charles H., Gluck, Herman, Gluck, Herman, Heath, R. W., Heath, R. W., Henderson, David W., Henderson, David W., Jones, P. Burton, Jones, P. Burton, Lininger, L., Lininger, L., Lininger, Lloyd L., Lininger, Lloyd L., Martin, Joseph, Martin, Joseph, McAuley, L. F., McAuley, L. F., McAuley, Louis F., McAuley, Louis F., McMillan, D. R., McMillan, D. R., Meyer, Donald V., Meyer, Donald V., Rudin, Mary Ellen, Rudin, Mary Ellen, Smythe, N., Smythe, N., Stallings, John, Stallings, John, Szczarba, R. H., Szczarba, R. H., Thomas, E. S., Thomas, E. S., Tulley, P. A., Tulley, P. A., Ungar, Gerald S., Ungar, Gerald S., Younglove, J. N., Younglove, J. N., |
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Armentrout, Steve, Armentrout, Steve, Bean, Ralph J., Bean, Ralph J., Bing, R. H., Bing, R. H., Bing, R. H., Bing, R. H., Bryant, John L., Bryant, John L., Burgess, C. E., Burgess, C. E., Connor, A. C., Connor, A. C., Dancis, Jerome, Dancis, Jerome, Fadell, E., Fadell, E., Fugate, J. B., Fugate, J. B., Giffen, Charles H., Giffen, Charles H., Gluck, Herman, Gluck, Herman, Heath, R. W., Heath, R. W., Henderson, David W., Henderson, David W., Jones, P. Burton, Jones, P. Burton, Lininger, L., Lininger, L., Lininger, Lloyd L., Lininger, Lloyd L., Martin, Joseph, Martin, Joseph, McAuley, L. F., McAuley, L. F., McAuley, Louis F., McAuley, Louis F., McMillan, D. R., McMillan, D. R., Meyer, Donald V., Meyer, Donald V., Rudin, Mary Ellen, Rudin, Mary Ellen, Smythe, N., Smythe, N., Stallings, John, Stallings, John, Szczarba, R. H., Szczarba, R. H., Thomas, E. S., Thomas, E. S., Tulley, P. A., Tulley, P. A., Ungar, Gerald S., Ungar, Gerald S., Younglove, J. N., Younglove, J. N., |
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Armentrout, Steve, |
| title |
Topology Seminar Wisconsin, 1965. (AM-60), Volume 60 / |
| spellingShingle |
Topology Seminar Wisconsin, 1965. (AM-60), Volume 60 / Annals of Mathematics Studies ; Frontmatter -- CONTENTS -- PREFACE -- CHAPTER I: 3 -MANIFOLDS -- MONOTONE DECOMPOSITIONS OF E3 -- EQUIVALENT DECOMPOSITIONS OF E3 -- ANOTHER DECOMPOSITION OP E3 INTO POINTS AND INTERVALS -- CRUMPLED CUBES -- SEWINGS OF CRUMPLED CUBES WHICH DO NOT YIELD S3 -- CANONICAL NEIGHBORHOODS IN THREE-MANIFOLDS -- BOUNDARY LINKS -- SURFACES IN E3 -- ADDITIONAL QUESTIONS ON 3-MANIFOLDS -- CHAPTER II: THE POINCARÉ CONJECTURE -- HOW NOT TO PROVE THE POINCARÉ CONJECTURE -- MAPPING A 3 -SPHERE ONTO A HOMOTOPY 3 -SPHERE -- CONCERNING FAKE CUBES -- CHAPTER III -- ON CERTAIN FIRST COUNTABLE SPACES -- REMARKS ON THE NORMAL MOORE SPACE METRIZATION PROBLEM -- TWO CONJECTURES IN POINT SET THEORY -- ALMOST CONTINUOUS FUNCTIONS AND FUNCTIONS OF BAIRE CLASS 1 -- CHAINABLE CONTINUA -- THE EXISTENCE OP A COMPLETE METRIC FOR A SPECIAL MAPPING SPACE AND SOME CONSEQUENCES -- FINITE DIMENSIONAL SUBSETS OF INFINITE DIMENSIONAL SPACES -- TYPES OF ULTRAFILTERS -- ADDITIONAL QUESTIONS ON ABSTRACT SPACES -- CHAPTER IV: N-MANIFOLDS -- TAMING POLYHEDRA IN THE TRIVIAL RANGE -- SOME NICE EMBEDDINGS IN THE TRIVIAL RANGE -- APPROXIMATIONS AND ISOTOPIES IN THE TRIVIAL RANGE -- ON A SPHERICAL EMBEDDINGS OF 2 -SPHERES IN THE 4-SPHERE -- GEOMETRIC CHARACTERIZATION OP DIFFERENTIABLE MANIFOLDS IN EUCLIDEAN SPACE -- WHITEHEAD TORSION AND h-COBORDISM -- ADDITIONAL QUESTIONS ON N-MANIFOLDS -- COMPLETELY REGULAR MAPPINGS, FIBER SPACES, THE WEAK BUNDLE PROPERTIES, AND THE GENERALIZED SLICING STRUCTURE PROPERTIES -- FIBER SPACES AND n-REGULARITY -- FIBER SPACES WIT H TOTALLY PATHWISE DISCONNECTED FIBERS -- SOME QUESTIONS IN THE THEORY OP NORMAL FIBER SPACES FOR TOPOLOGICAL MANIFOLDS |
| title_full |
Topology Seminar Wisconsin, 1965. (AM-60), Volume 60 / ed. by R. H. Bing, Ralph J. Bean. |
| title_fullStr |
Topology Seminar Wisconsin, 1965. (AM-60), Volume 60 / ed. by R. H. Bing, Ralph J. Bean. |
| title_full_unstemmed |
Topology Seminar Wisconsin, 1965. (AM-60), Volume 60 / ed. by R. H. Bing, Ralph J. Bean. |
| title_auth |
Topology Seminar Wisconsin, 1965. (AM-60), Volume 60 / |
| title_alt |
Frontmatter -- CONTENTS -- PREFACE -- CHAPTER I: 3 -MANIFOLDS -- MONOTONE DECOMPOSITIONS OF E3 -- EQUIVALENT DECOMPOSITIONS OF E3 -- ANOTHER DECOMPOSITION OP E3 INTO POINTS AND INTERVALS -- CRUMPLED CUBES -- SEWINGS OF CRUMPLED CUBES WHICH DO NOT YIELD S3 -- CANONICAL NEIGHBORHOODS IN THREE-MANIFOLDS -- BOUNDARY LINKS -- SURFACES IN E3 -- ADDITIONAL QUESTIONS ON 3-MANIFOLDS -- CHAPTER II: THE POINCARÉ CONJECTURE -- HOW NOT TO PROVE THE POINCARÉ CONJECTURE -- MAPPING A 3 -SPHERE ONTO A HOMOTOPY 3 -SPHERE -- CONCERNING FAKE CUBES -- CHAPTER III -- ON CERTAIN FIRST COUNTABLE SPACES -- REMARKS ON THE NORMAL MOORE SPACE METRIZATION PROBLEM -- TWO CONJECTURES IN POINT SET THEORY -- ALMOST CONTINUOUS FUNCTIONS AND FUNCTIONS OF BAIRE CLASS 1 -- CHAINABLE CONTINUA -- THE EXISTENCE OP A COMPLETE METRIC FOR A SPECIAL MAPPING SPACE AND SOME CONSEQUENCES -- FINITE DIMENSIONAL SUBSETS OF INFINITE DIMENSIONAL SPACES -- TYPES OF ULTRAFILTERS -- ADDITIONAL QUESTIONS ON ABSTRACT SPACES -- CHAPTER IV: N-MANIFOLDS -- TAMING POLYHEDRA IN THE TRIVIAL RANGE -- SOME NICE EMBEDDINGS IN THE TRIVIAL RANGE -- APPROXIMATIONS AND ISOTOPIES IN THE TRIVIAL RANGE -- ON A SPHERICAL EMBEDDINGS OF 2 -SPHERES IN THE 4-SPHERE -- GEOMETRIC CHARACTERIZATION OP DIFFERENTIABLE MANIFOLDS IN EUCLIDEAN SPACE -- WHITEHEAD TORSION AND h-COBORDISM -- ADDITIONAL QUESTIONS ON N-MANIFOLDS -- COMPLETELY REGULAR MAPPINGS, FIBER SPACES, THE WEAK BUNDLE PROPERTIES, AND THE GENERALIZED SLICING STRUCTURE PROPERTIES -- FIBER SPACES AND n-REGULARITY -- FIBER SPACES WIT H TOTALLY PATHWISE DISCONNECTED FIBERS -- SOME QUESTIONS IN THE THEORY OP NORMAL FIBER SPACES FOR TOPOLOGICAL MANIFOLDS |
| title_new |
Topology Seminar Wisconsin, 1965. (AM-60), Volume 60 / |
| title_sort |
topology seminar wisconsin, 1965. (am-60), volume 60 / |
| series |
Annals of Mathematics Studies ; |
| series2 |
Annals of Mathematics Studies ; |
| publisher |
Princeton University Press, |
| publishDate |
2016 |
| physical |
1 online resource (256 p.) Issued also in print. |
| contents |
Frontmatter -- CONTENTS -- PREFACE -- CHAPTER I: 3 -MANIFOLDS -- MONOTONE DECOMPOSITIONS OF E3 -- EQUIVALENT DECOMPOSITIONS OF E3 -- ANOTHER DECOMPOSITION OP E3 INTO POINTS AND INTERVALS -- CRUMPLED CUBES -- SEWINGS OF CRUMPLED CUBES WHICH DO NOT YIELD S3 -- CANONICAL NEIGHBORHOODS IN THREE-MANIFOLDS -- BOUNDARY LINKS -- SURFACES IN E3 -- ADDITIONAL QUESTIONS ON 3-MANIFOLDS -- CHAPTER II: THE POINCARÉ CONJECTURE -- HOW NOT TO PROVE THE POINCARÉ CONJECTURE -- MAPPING A 3 -SPHERE ONTO A HOMOTOPY 3 -SPHERE -- CONCERNING FAKE CUBES -- CHAPTER III -- ON CERTAIN FIRST COUNTABLE SPACES -- REMARKS ON THE NORMAL MOORE SPACE METRIZATION PROBLEM -- TWO CONJECTURES IN POINT SET THEORY -- ALMOST CONTINUOUS FUNCTIONS AND FUNCTIONS OF BAIRE CLASS 1 -- CHAINABLE CONTINUA -- THE EXISTENCE OP A COMPLETE METRIC FOR A SPECIAL MAPPING SPACE AND SOME CONSEQUENCES -- FINITE DIMENSIONAL SUBSETS OF INFINITE DIMENSIONAL SPACES -- TYPES OF ULTRAFILTERS -- ADDITIONAL QUESTIONS ON ABSTRACT SPACES -- CHAPTER IV: N-MANIFOLDS -- TAMING POLYHEDRA IN THE TRIVIAL RANGE -- SOME NICE EMBEDDINGS IN THE TRIVIAL RANGE -- APPROXIMATIONS AND ISOTOPIES IN THE TRIVIAL RANGE -- ON A SPHERICAL EMBEDDINGS OF 2 -SPHERES IN THE 4-SPHERE -- GEOMETRIC CHARACTERIZATION OP DIFFERENTIABLE MANIFOLDS IN EUCLIDEAN SPACE -- WHITEHEAD TORSION AND h-COBORDISM -- ADDITIONAL QUESTIONS ON N-MANIFOLDS -- COMPLETELY REGULAR MAPPINGS, FIBER SPACES, THE WEAK BUNDLE PROPERTIES, AND THE GENERALIZED SLICING STRUCTURE PROPERTIES -- FIBER SPACES AND n-REGULARITY -- FIBER SPACES WIT H TOTALLY PATHWISE DISCONNECTED FIBERS -- SOME QUESTIONS IN THE THEORY OP NORMAL FIBER SPACES FOR TOPOLOGICAL MANIFOLDS |
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9781400882076 9783110494914 9783110442496 9780691080567 |
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Congresses. |
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510 - Mathematics |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>10977nam a22022575i 4500</leader><controlfield tag="001">9781400882076</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20220131112047.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">220131t20161967nju fo d z eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400882076</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9781400882076</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)467955</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)979759958</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">nju</subfield><subfield code="c">US-NJ</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA611</subfield><subfield code="b">.T665 1965eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT038000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">513.83</subfield><subfield code="2">23</subfield></datafield><datafield tag="245" ind1="0" ind2="0"><subfield code="a">Topology Seminar Wisconsin, 1965. (AM-60), Volume 60 /</subfield><subfield code="c">ed. by R. H. Bing, Ralph J. Bean.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, NJ : </subfield><subfield code="b">Princeton University Press, </subfield><subfield code="c">[2016]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©1967</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (256 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Annals of Mathematics Studies ;</subfield><subfield code="v">60</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">CONTENTS -- </subfield><subfield code="t">PREFACE -- </subfield><subfield code="t">CHAPTER I: 3 -MANIFOLDS -- </subfield><subfield code="t">MONOTONE DECOMPOSITIONS OF E3 -- </subfield><subfield code="t">EQUIVALENT DECOMPOSITIONS OF E3 -- </subfield><subfield code="t">ANOTHER DECOMPOSITION OP E3 INTO POINTS AND INTERVALS -- </subfield><subfield code="t">CRUMPLED CUBES -- </subfield><subfield code="t">SEWINGS OF CRUMPLED CUBES WHICH DO NOT YIELD S3 -- </subfield><subfield code="t">CANONICAL NEIGHBORHOODS IN THREE-MANIFOLDS -- </subfield><subfield code="t">BOUNDARY LINKS -- </subfield><subfield code="t">SURFACES IN E3 -- </subfield><subfield code="t">ADDITIONAL QUESTIONS ON 3-MANIFOLDS -- </subfield><subfield code="t">CHAPTER II: THE POINCARÉ CONJECTURE -- </subfield><subfield code="t">HOW NOT TO PROVE THE POINCARÉ CONJECTURE -- </subfield><subfield code="t">MAPPING A 3 -SPHERE ONTO A HOMOTOPY 3 -SPHERE -- </subfield><subfield code="t">CONCERNING FAKE CUBES -- </subfield><subfield code="t">CHAPTER III -- </subfield><subfield code="t">ON CERTAIN FIRST COUNTABLE SPACES -- </subfield><subfield code="t">REMARKS ON THE NORMAL MOORE SPACE METRIZATION PROBLEM -- </subfield><subfield code="t">TWO CONJECTURES IN POINT SET THEORY -- </subfield><subfield code="t">ALMOST CONTINUOUS FUNCTIONS AND FUNCTIONS OF BAIRE CLASS 1 -- </subfield><subfield code="t">CHAINABLE CONTINUA -- </subfield><subfield code="t">THE EXISTENCE OP A COMPLETE METRIC FOR A SPECIAL MAPPING SPACE AND SOME CONSEQUENCES -- </subfield><subfield code="t">FINITE DIMENSIONAL SUBSETS OF INFINITE DIMENSIONAL SPACES -- </subfield><subfield code="t">TYPES OF ULTRAFILTERS -- </subfield><subfield code="t">ADDITIONAL QUESTIONS ON ABSTRACT SPACES -- </subfield><subfield code="t">CHAPTER IV: N-MANIFOLDS -- </subfield><subfield code="t">TAMING POLYHEDRA IN THE TRIVIAL RANGE -- </subfield><subfield code="t">SOME NICE EMBEDDINGS IN THE TRIVIAL RANGE -- </subfield><subfield code="t">APPROXIMATIONS AND ISOTOPIES IN THE TRIVIAL RANGE -- </subfield><subfield code="t">ON A SPHERICAL EMBEDDINGS OF 2 -SPHERES IN THE 4-SPHERE -- </subfield><subfield code="t">GEOMETRIC CHARACTERIZATION OP DIFFERENTIABLE MANIFOLDS IN EUCLIDEAN SPACE -- </subfield><subfield code="t">WHITEHEAD TORSION AND h-COBORDISM -- </subfield><subfield code="t">ADDITIONAL QUESTIONS ON N-MANIFOLDS -- </subfield><subfield code="t">COMPLETELY REGULAR MAPPINGS, FIBER SPACES, THE WEAK BUNDLE PROPERTIES, AND THE GENERALIZED SLICING STRUCTURE PROPERTIES -- </subfield><subfield code="t">FIBER SPACES AND n-REGULARITY -- </subfield><subfield code="t">FIBER SPACES WIT H TOTALLY PATHWISE DISCONNECTED FIBERS -- </subfield><subfield code="t">SOME QUESTIONS IN THE THEORY OP NORMAL FIBER SPACES FOR TOPOLOGICAL MANIFOLDS</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">During the summer of 1965, an informal seminar in geometric topology was held at the University of Wisconsin under the direction of Professor Bing. Twenty-five of these lectures are included in this study, among them Professor Bing's lecture describing the recent attacks of Haken and Poincaré on the Poincaré conjectures, and sketching a proof of Haken's main result.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Topology</subfield><subfield code="v">Congresses.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Topology.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Abstract algebra.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Branch point.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cantor set.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cartesian coordinate system.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cartesian product.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Characteristic class.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Characterization (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cohomology.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Commutator subgroup.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Compactification (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Complete metric space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Conjecture.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Connected space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Continuous function (set theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Continuum hypothesis.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Countable set.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cube.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cyclic group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Degeneracy (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Dehn's lemma.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Diagram (category theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Dimension theory (algebra).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Dimension.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Discrete group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Disk (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Embedding.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Epimorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Equilateral triangle.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Equivalence class.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Equivalence relation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Euclidean space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Existential quantification.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fiber bundle.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">First-countable space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fixed-point property.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Function (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fundamental group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Graph (discrete mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Graph of a function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Grassmannian.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">H-cobordism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hausdorff distance.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homeomorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homotopy group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homotopy.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hypercube.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hyperplane.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Inclusion map.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Inner automorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Intersection (set theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Interval (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Inverse limit.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Jordan curve theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">K-cell (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Knot theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Lexicographical order.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Limit ordinal.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Limit point.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Line (geometry).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Linear extension.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Loop theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Mathematical induction.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Mean value theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Metric space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Metrization theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Module (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Moore space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">N-connected.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">N-sphere.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Natural number.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Neighbourhood (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Non-Euclidean geometry.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Normal subgroup.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Open set.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Order topology.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Orthogonal group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">P-adic number.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Poincaré conjecture.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Polyhedron.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Projection (linear algebra).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Projection (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Projective line.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Rectangle.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Scientific notation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Semi-locally simply connected.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Sign (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Simply connected space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Special case.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Sphere theorem (3-manifolds).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Submanifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Subset.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Summation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Tangent space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Topological graph.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Topological space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Two-dimensional space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Ultrafilter.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Unit interval.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Upper half-plane.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Armentrout, Steve, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bean, Ralph J., </subfield><subfield code="e">editor.</subfield><subfield code="4">edt</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bing, R. H., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bing, R. H., </subfield><subfield code="e">editor.</subfield><subfield code="4">edt</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bryant, John L., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Burgess, C. E., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Connor, A. C., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Dancis, Jerome, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Fadell, E., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Fugate, J. B., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Giffen, Charles H., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gluck, Herman, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Heath, R. W., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Henderson, David W., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Jones, P. Burton, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lininger, L., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lininger, Lloyd L., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Martin, Joseph, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">McAuley, L. 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