Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 / / R. D. Anderson.
In essence the proceedings of the 1967 meeting in Baton Rouge, the volume offers significant papers in the topology of infinite dimensional linear spaces, fixed point theory in infinite dimensional spaces, infinite dimensional differential topology, and infinite dimensional pointset topology. Later...
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1972 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
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| Physical Description: | 1 online resource (308 p.) |
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Anderson, R. D., author. aut http://id.loc.gov/vocabulary/relators/aut Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 / R. D. Anderson. Princeton, NJ : Princeton University Press, [2016] ©1972 1 online resource (308 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 69 Frontmatter -- PREFACE -- CONTENTS -- TOPOLOGICAL EQUIVALENCE OF NON-SEPARABLE REFLEXIVE BANACH SPACES -- ON TOPOLOGICAL CLASSIFICATION OF NON-SEPARABLE BANACH SPACES -- ON HOMOTOPY PROPERTIES OF COMPACT SUBSETS OF THE HILBERT SPACE -- SOME THIN SETS IN FRÉCHET SPACES -- A REMARK ON BANACH ANALYTIC SPACES -- FIBRING SPACES OF MAPS -- AN APPROXIMATE MORSE-SARD THEOREM -- MORSE THEORY FOR CLOSED CURVES -- COVERING PROPERTIES OF CONVEX SETS AND FIXED POINT THEOREMS IN TOPOLOGICAL VECTOR SPACES -- ON THE COHOMOLOGY THEORY IN LINEAR NORMED SPACES -- ANALYSE DE LA TECHNIQUE DE NASH-MOSER -- GENERALIZING THE HOPF-LEFSCHETZ FIXED POINT THEOREM FOR NON-COMPACT ANR-S -- SOME QUESTIONS IN THE DIMENSION THEORY OF INFINITE DIMENSIONAL SPACES -- ON THE CONTINUITY OF BEST APPROXIMATION OPERATORS -- SOME SELF-DUAL PROPERTIES OF NORMED LINEAR SPACES -- ASYMPTOTIC FIXED POINT THEORY -- ON THE RELATIONSHIP OF LOCAL TO GLOBAL FIXED-POINT INDEXES -- C1-EQUIVALENCE OF FUNCTIONS NEAR ISOLATED CRITICAL POINTS -- FIXED POINT INDEX AND LEFSCHETZ NUMBER -- WEAKLY COMPACT SETS - THEIR TOPOLOGICAL PROPERTIES AND THE BANACH SPACES THEY GENERATE -- ON CONTINUITY AND APPROXIMATION QUESTIONS CONCERNING CRITICAL MORSE GROUPS IN HILBERT SPACE -- ON HOMEOMORPHISMS OF CERTAIN INFINITE DIMENSIONAL SPACES restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star In essence the proceedings of the 1967 meeting in Baton Rouge, the volume offers significant papers in the topology of infinite dimensional linear spaces, fixed point theory in infinite dimensional spaces, infinite dimensional differential topology, and infinite dimensional pointset topology. Later results of the contributors underscore the basic soundness of this selection, which includes survey and expository papers, as well as reports of continuing research. 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) Differential topology Congresses. Functional analysis Congresses. Topology Congresses. MATHEMATICS / Topology. bisacsh Anderson's theorem. Annihilator (ring theory). Automorphism. Baire measure. Banach algebra. Banach manifold. Banach space. Bounded operator. Cartesian product. Characterization (mathematics). Cohomology. Compact space. Complement (set theory). Complete metric space. Connected space. Continuous function. Convex set. Coset. Critical point (mathematics). Diagram (category theory). Differentiable manifold. Differential topology. Dimension (vector space). Dimension. Dimensional analysis. Dual space. Duality (mathematics). Endomorphism. Equivalence class. Euclidean space. Existential quantification. Explicit formulae (L-function). Exponential map (Riemannian geometry). Fixed-point theorem. Fréchet derivative. Fréchet space. Fuchsian group. Function space. Fundamental class. Haar measure. Hessian matrix. Hilbert space. Homeomorphism. Homology (mathematics). Homotopy group. Homotopy. Inclusion map. Infimum and supremum. Lebesgue space. Lefschetz fixed-point theorem. Limit point. Linear space (geometry). Locally convex topological vector space. Loop space. Mathematical optimization. Measure (mathematics). Metric space. Module (mathematics). Natural topology. Neighbourhood (mathematics). Normal space. Normed vector space. Open set. Ordinal number. Paracompact space. Partition of unity. Path space. Product topology. Quantifier (logic). Quotient space (linear algebra). Quotient space (topology). Radon measure. Reflexive space. Representation theorem. Riemannian manifold. Schauder fixed point theorem. Sign (mathematics). Simply connected space. Space form. Special case. Stiefel manifold. Strong operator topology. Subcategory. Submanifold. Subset. Tangent space. Teichmüller space. Theorem. Topological space. Topological vector space. Topology. Transfinite induction. Transfinite. Transversal (geometry). Transversality theorem. Tychonoff cube. Union (set theory). Unit sphere. Weak topology. Weakly compact. Bessaga, C., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Borsuk, Karel, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Corson, H. H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Douady, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Eells, James, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Eliasson, Halldor I., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Fan, Ky, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Geba, Kazimierz, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Glaeser, G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Granas, Andrzej, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Henderson, David W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Holmes, R. B., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb James, Robert C., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Jones, G. Stephen, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kadec, M. I., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Knill, Ronald J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kuiper, Nicolaas H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Leray, Jean, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lindenstrauss, Joram, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb McAlpin, John, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Rothe, E. H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wong, Raymond Y. T., 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 9780691080871 https://doi.org/10.1515/9781400881406 https://www.degruyter.com/isbn/9781400881406 Cover https://www.degruyter.com/document/cover/isbn/9781400881406/original |
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English |
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eBook |
| author |
Anderson, R. D., Anderson, R. D., |
| spellingShingle |
Anderson, R. D., Anderson, R. D., Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 / Annals of Mathematics Studies ; Frontmatter -- PREFACE -- CONTENTS -- TOPOLOGICAL EQUIVALENCE OF NON-SEPARABLE REFLEXIVE BANACH SPACES -- ON TOPOLOGICAL CLASSIFICATION OF NON-SEPARABLE BANACH SPACES -- ON HOMOTOPY PROPERTIES OF COMPACT SUBSETS OF THE HILBERT SPACE -- SOME THIN SETS IN FRÉCHET SPACES -- A REMARK ON BANACH ANALYTIC SPACES -- FIBRING SPACES OF MAPS -- AN APPROXIMATE MORSE-SARD THEOREM -- MORSE THEORY FOR CLOSED CURVES -- COVERING PROPERTIES OF CONVEX SETS AND FIXED POINT THEOREMS IN TOPOLOGICAL VECTOR SPACES -- ON THE COHOMOLOGY THEORY IN LINEAR NORMED SPACES -- ANALYSE DE LA TECHNIQUE DE NASH-MOSER -- GENERALIZING THE HOPF-LEFSCHETZ FIXED POINT THEOREM FOR NON-COMPACT ANR-S -- SOME QUESTIONS IN THE DIMENSION THEORY OF INFINITE DIMENSIONAL SPACES -- ON THE CONTINUITY OF BEST APPROXIMATION OPERATORS -- SOME SELF-DUAL PROPERTIES OF NORMED LINEAR SPACES -- ASYMPTOTIC FIXED POINT THEORY -- ON THE RELATIONSHIP OF LOCAL TO GLOBAL FIXED-POINT INDEXES -- C1-EQUIVALENCE OF FUNCTIONS NEAR ISOLATED CRITICAL POINTS -- FIXED POINT INDEX AND LEFSCHETZ NUMBER -- WEAKLY COMPACT SETS - THEIR TOPOLOGICAL PROPERTIES AND THE BANACH SPACES THEY GENERATE -- ON CONTINUITY AND APPROXIMATION QUESTIONS CONCERNING CRITICAL MORSE GROUPS IN HILBERT SPACE -- ON HOMEOMORPHISMS OF CERTAIN INFINITE DIMENSIONAL SPACES |
| author_facet |
Anderson, R. D., Anderson, R. D., Bessaga, C., Bessaga, C., Borsuk, Karel, Borsuk, Karel, Corson, H. H., Corson, H. H., Douady, A., Douady, A., Eells, James, Eells, James, Eliasson, Halldor I., Eliasson, Halldor I., Fan, Ky, Fan, Ky, Geba, Kazimierz, Geba, Kazimierz, Glaeser, G., Glaeser, G., Granas, Andrzej, Granas, Andrzej, Henderson, David W., Henderson, David W., Holmes, R. B., Holmes, R. B., James, Robert C., James, Robert C., Jones, G. Stephen, Jones, G. Stephen, Kadec, M. I., Kadec, M. I., Knill, Ronald J., Knill, Ronald J., Kuiper, Nicolaas H., Kuiper, Nicolaas H., Leray, Jean, Leray, Jean, Lindenstrauss, Joram, Lindenstrauss, Joram, McAlpin, John, McAlpin, John, Rothe, E. H., Rothe, E. H., Wong, Raymond Y. T., Wong, Raymond Y. T., |
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Bessaga, C., Bessaga, C., Borsuk, Karel, Borsuk, Karel, Corson, H. H., Corson, H. H., Douady, A., Douady, A., Eells, James, Eells, James, Eliasson, Halldor I., Eliasson, Halldor I., Fan, Ky, Fan, Ky, Geba, Kazimierz, Geba, Kazimierz, Glaeser, G., Glaeser, G., Granas, Andrzej, Granas, Andrzej, Henderson, David W., Henderson, David W., Holmes, R. B., Holmes, R. B., James, Robert C., James, Robert C., Jones, G. Stephen, Jones, G. Stephen, Kadec, M. I., Kadec, M. I., Knill, Ronald J., Knill, Ronald J., Kuiper, Nicolaas H., Kuiper, Nicolaas H., Leray, Jean, Leray, Jean, Lindenstrauss, Joram, Lindenstrauss, Joram, McAlpin, John, McAlpin, John, Rothe, E. H., Rothe, E. H., Wong, Raymond Y. T., Wong, Raymond Y. T., |
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Anderson, R. D., |
| title |
Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 / |
| title_full |
Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 / R. D. Anderson. |
| title_fullStr |
Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 / R. D. Anderson. |
| title_full_unstemmed |
Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 / R. D. Anderson. |
| title_auth |
Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 / |
| title_alt |
Frontmatter -- PREFACE -- CONTENTS -- TOPOLOGICAL EQUIVALENCE OF NON-SEPARABLE REFLEXIVE BANACH SPACES -- ON TOPOLOGICAL CLASSIFICATION OF NON-SEPARABLE BANACH SPACES -- ON HOMOTOPY PROPERTIES OF COMPACT SUBSETS OF THE HILBERT SPACE -- SOME THIN SETS IN FRÉCHET SPACES -- A REMARK ON BANACH ANALYTIC SPACES -- FIBRING SPACES OF MAPS -- AN APPROXIMATE MORSE-SARD THEOREM -- MORSE THEORY FOR CLOSED CURVES -- COVERING PROPERTIES OF CONVEX SETS AND FIXED POINT THEOREMS IN TOPOLOGICAL VECTOR SPACES -- ON THE COHOMOLOGY THEORY IN LINEAR NORMED SPACES -- ANALYSE DE LA TECHNIQUE DE NASH-MOSER -- GENERALIZING THE HOPF-LEFSCHETZ FIXED POINT THEOREM FOR NON-COMPACT ANR-S -- SOME QUESTIONS IN THE DIMENSION THEORY OF INFINITE DIMENSIONAL SPACES -- ON THE CONTINUITY OF BEST APPROXIMATION OPERATORS -- SOME SELF-DUAL PROPERTIES OF NORMED LINEAR SPACES -- ASYMPTOTIC FIXED POINT THEORY -- ON THE RELATIONSHIP OF LOCAL TO GLOBAL FIXED-POINT INDEXES -- C1-EQUIVALENCE OF FUNCTIONS NEAR ISOLATED CRITICAL POINTS -- FIXED POINT INDEX AND LEFSCHETZ NUMBER -- WEAKLY COMPACT SETS - THEIR TOPOLOGICAL PROPERTIES AND THE BANACH SPACES THEY GENERATE -- ON CONTINUITY AND APPROXIMATION QUESTIONS CONCERNING CRITICAL MORSE GROUPS IN HILBERT SPACE -- ON HOMEOMORPHISMS OF CERTAIN INFINITE DIMENSIONAL SPACES |
| title_new |
Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 / |
| title_sort |
symposium on infinite dimensional topology. (am-69), volume 69 / |
| series |
Annals of Mathematics Studies ; |
| series2 |
Annals of Mathematics Studies ; |
| publisher |
Princeton University Press, |
| publishDate |
2016 |
| physical |
1 online resource (308 p.) Issued also in print. |
| contents |
Frontmatter -- PREFACE -- CONTENTS -- TOPOLOGICAL EQUIVALENCE OF NON-SEPARABLE REFLEXIVE BANACH SPACES -- ON TOPOLOGICAL CLASSIFICATION OF NON-SEPARABLE BANACH SPACES -- ON HOMOTOPY PROPERTIES OF COMPACT SUBSETS OF THE HILBERT SPACE -- SOME THIN SETS IN FRÉCHET SPACES -- A REMARK ON BANACH ANALYTIC SPACES -- FIBRING SPACES OF MAPS -- AN APPROXIMATE MORSE-SARD THEOREM -- MORSE THEORY FOR CLOSED CURVES -- COVERING PROPERTIES OF CONVEX SETS AND FIXED POINT THEOREMS IN TOPOLOGICAL VECTOR SPACES -- ON THE COHOMOLOGY THEORY IN LINEAR NORMED SPACES -- ANALYSE DE LA TECHNIQUE DE NASH-MOSER -- GENERALIZING THE HOPF-LEFSCHETZ FIXED POINT THEOREM FOR NON-COMPACT ANR-S -- SOME QUESTIONS IN THE DIMENSION THEORY OF INFINITE DIMENSIONAL SPACES -- ON THE CONTINUITY OF BEST APPROXIMATION OPERATORS -- SOME SELF-DUAL PROPERTIES OF NORMED LINEAR SPACES -- ASYMPTOTIC FIXED POINT THEORY -- ON THE RELATIONSHIP OF LOCAL TO GLOBAL FIXED-POINT INDEXES -- C1-EQUIVALENCE OF FUNCTIONS NEAR ISOLATED CRITICAL POINTS -- FIXED POINT INDEX AND LEFSCHETZ NUMBER -- WEAKLY COMPACT SETS - THEIR TOPOLOGICAL PROPERTIES AND THE BANACH SPACES THEY GENERATE -- ON CONTINUITY AND APPROXIMATION QUESTIONS CONCERNING CRITICAL MORSE GROUPS IN HILBERT SPACE -- ON HOMEOMORPHISMS OF CERTAIN INFINITE DIMENSIONAL SPACES |
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9781400881406 9783110494914 9783110442496 9780691080871 |
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Q - Science |
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QA - Mathematics |
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QA611 |
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Congresses. |
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https://doi.org/10.1515/9781400881406 https://www.degruyter.com/isbn/9781400881406 https://www.degruyter.com/document/cover/isbn/9781400881406/original |
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Not Illustrated |
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500 - Science |
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510 - Mathematics |
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514 - Topology |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>10169nam a22021975i 4500</leader><controlfield tag="001">9781400881406</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">220131t20161972nju fo d z eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400881406</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9781400881406</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)467931</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)979743169</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.A1</subfield><subfield code="b">S96 1967eb</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">514</subfield><subfield code="2">23</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Anderson, R. D., </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 /</subfield><subfield code="c">R. D. Anderson.</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">©1972</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (308 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">69</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">PREFACE -- </subfield><subfield code="t">CONTENTS -- </subfield><subfield code="t">TOPOLOGICAL EQUIVALENCE OF NON-SEPARABLE REFLEXIVE BANACH SPACES -- </subfield><subfield code="t">ON TOPOLOGICAL CLASSIFICATION OF NON-SEPARABLE BANACH SPACES -- </subfield><subfield code="t">ON HOMOTOPY PROPERTIES OF COMPACT SUBSETS OF THE HILBERT SPACE -- </subfield><subfield code="t">SOME THIN SETS IN FRÉCHET SPACES -- </subfield><subfield code="t">A REMARK ON BANACH ANALYTIC SPACES -- </subfield><subfield code="t">FIBRING SPACES OF MAPS -- </subfield><subfield code="t">AN APPROXIMATE MORSE-SARD THEOREM -- </subfield><subfield code="t">MORSE THEORY FOR CLOSED CURVES -- </subfield><subfield code="t">COVERING PROPERTIES OF CONVEX SETS AND FIXED POINT THEOREMS IN TOPOLOGICAL VECTOR SPACES -- </subfield><subfield code="t">ON THE COHOMOLOGY THEORY IN LINEAR NORMED SPACES -- </subfield><subfield code="t">ANALYSE DE LA TECHNIQUE DE NASH-MOSER -- </subfield><subfield code="t">GENERALIZING THE HOPF-LEFSCHETZ FIXED POINT THEOREM FOR NON-COMPACT ANR-S -- </subfield><subfield code="t">SOME QUESTIONS IN THE DIMENSION THEORY OF INFINITE DIMENSIONAL SPACES -- </subfield><subfield code="t">ON THE CONTINUITY OF BEST APPROXIMATION OPERATORS -- </subfield><subfield code="t">SOME SELF-DUAL PROPERTIES OF NORMED LINEAR SPACES -- </subfield><subfield code="t">ASYMPTOTIC FIXED POINT THEORY -- </subfield><subfield code="t">ON THE RELATIONSHIP OF LOCAL TO GLOBAL FIXED-POINT INDEXES -- </subfield><subfield code="t">C1-EQUIVALENCE OF FUNCTIONS NEAR ISOLATED CRITICAL POINTS -- </subfield><subfield code="t">FIXED POINT INDEX AND LEFSCHETZ NUMBER -- </subfield><subfield code="t">WEAKLY COMPACT SETS - THEIR TOPOLOGICAL PROPERTIES AND THE BANACH SPACES THEY GENERATE -- </subfield><subfield code="t">ON CONTINUITY AND APPROXIMATION QUESTIONS CONCERNING CRITICAL MORSE GROUPS IN HILBERT SPACE -- </subfield><subfield code="t">ON HOMEOMORPHISMS OF CERTAIN INFINITE DIMENSIONAL SPACES</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">In essence the proceedings of the 1967 meeting in Baton Rouge, the volume offers significant papers in the topology of infinite dimensional linear spaces, fixed point theory in infinite dimensional spaces, infinite dimensional differential topology, and infinite dimensional pointset topology. Later results of the contributors underscore the basic soundness of this selection, which includes survey and expository papers, as well as reports of continuing research.</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">Differential topology</subfield><subfield code="v">Congresses.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Functional analysis</subfield><subfield code="v">Congresses.</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">Anderson's theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Annihilator (ring theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Automorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Baire measure.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Banach algebra.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Banach manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Banach space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Bounded operator.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cartesian product.</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">Compact space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Complement (set theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Complete metric space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Connected space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Continuous function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Convex set.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Coset.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Critical point (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Diagram (category theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Differentiable manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Differential topology.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Dimension (vector space).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Dimension.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Dimensional analysis.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Dual space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Duality (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Endomorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Equivalence class.</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">Explicit formulae (L-function).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Exponential map (Riemannian geometry).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fixed-point theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fréchet derivative.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fréchet space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fuchsian group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Function space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fundamental class.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Haar measure.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hessian matrix.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hilbert space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homeomorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homology (mathematics).</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">Inclusion map.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Infimum and supremum.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Lebesgue space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Lefschetz fixed-point theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Limit point.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Linear space (geometry).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Locally convex topological vector space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Loop space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Mathematical optimization.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Measure (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Metric space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Module (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Natural topology.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Neighbourhood (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Normal space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Normed vector space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Open set.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Ordinal number.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Paracompact space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Partition of unity.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Path space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Product topology.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Quantifier (logic).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Quotient space (linear algebra).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Quotient space (topology).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Radon measure.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Reflexive space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Representation theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Riemannian manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Schauder fixed point theorem.</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">Space form.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Special case.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Stiefel manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Strong operator topology.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Subcategory.</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">Tangent space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Teichmüller space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Topological space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Topological vector space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Topology.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Transfinite induction.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Transfinite.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Transversal (geometry).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Transversality theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Tychonoff cube.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Union (set theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Unit sphere.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Weak topology.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Weakly compact.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bessaga, 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">Borsuk, Karel, </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">Corson, H. 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">Douady, A., </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">Eells, James, </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">Eliasson, Halldor I., </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">Fan, Ky, </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">Geba, Kazimierz, </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">Glaeser, G., </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">Granas, Andrzej, </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">Holmes, R. 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">James, Robert 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">Jones, G. Stephen, </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">Kadec, M. I., </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">Knill, Ronald J., </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">Kuiper, Nicolaas 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">Leray, Jean, </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">Lindenstrauss, Joram, </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">McAlpin, John, </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">Rothe, E. 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">Wong, Raymond Y. 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