Knots, Groups and 3-Manifolds (AM-84), Volume 84 : : Papers Dedicated to the Memory of R.H. Fox. (AM-84) / / Lee Paul Neuwirth.
There is a sympathy of ideas among the fields of knot theory, infinite discrete group theory, and the topology of 3-manifolds. This book contains fifteen papers in which new results are proved in all three of these fields. These papers are dedicated to the memory of Ralph H. Fox, one of the world...
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Neuwirth, Lee Paul, author. aut http://id.loc.gov/vocabulary/relators/aut Knots, Groups and 3-Manifolds (AM-84), Volume 84 : Papers Dedicated to the Memory of R.H. Fox. (AM-84) / Lee Paul Neuwirth. Princeton, NJ : Princeton University Press, [2016] ©1975 1 online resource (346 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 84 Frontmatter -- CONTENTS -- INTRODUCTION -- BIBLIOGRAPHY, RALPH HARTZLER FOX (1913-1973) -- Knots and Links -- SYMMETRIC FIBERED LINKS -- KNOT MODULES -- THE THIRD HOMOTOPY GROUP OF SOME HIGHER DIMENSIONAL KNOTS -- OCTAHEDRAL KNOT COVERS -- SOME KNOTS SPANNED BY MORE THAN ONE UNKNOTTED SURFACE OF MINIMAL GENUS -- GROUPS AND MANIFOLDS CHARACTERIZING LINKS -- Group Theory -- HNN GROUPS AND GROUPS WITH CENTER -- QUOTIENTS OF THE POWERS OF THE AUGMENTATION IDEAL IN A GROUP RING -- KNOT-LIKE GROUPS -- 3-Dimensional Manifolds -- ON THE EQUIVALENCE OF HEEGAARD SPLITTINGS OF CLOSED, ORIENT ABLE 3-MANIFOLDS -- BRANCHED CYCLIC COVERINGS -- ON THE 3-DIMENSIONAL BRIESKORN MANIFOLDS M(p,q,r) -- SURGERY ON LINKS AND DOUBLE BRANCHED COVERS OF S3 -- PLANAR REGULAR COVERINGS OF ORIENTABLE CLOSED SURFACES -- INFINITELY DIVISIBLE ELEMENTS IN 3-MANIFOLD GROUPS -- Backmatter restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star There is a sympathy of ideas among the fields of knot theory, infinite discrete group theory, and the topology of 3-manifolds. This book contains fifteen papers in which new results are proved in all three of these fields. These papers are dedicated to the memory of Ralph H. Fox, one of the world's leading topologists, by colleagues, former students, and friends.In knot theory, papers have been contributed by Goldsmith, Levine, Lomonaco, Perko, Trotter, and Whitten. Of these several are devoted to the study of branched covering spaces over knots and links, while others utilize the braid groups of Artin.Cossey and Smythe, Stallings, and Strasser address themselves to group theory. In his contribution Stallings describes the calculation of the groups In/In+1 where I is the augmentation ideal in a group ring RG. As a consequence, one has for each k an example of a k-generator l-relator group with no free homomorphs. In the third part, papers by Birman, Cappell, Milnor, Montesinos, Papakyriakopoulos, and Shalen comprise the treatment of 3-manifolds. Milnor gives, besides important new results, an exposition of certain aspects of our current knowledge regarding the 3- dimensional Brieskorn manifolds. 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) Group theory. Knot theory. Three-manifolds (Topology). MATHEMATICS / Topology. bisacsh 3-manifold. 3-sphere. Additive group. Alexander duality. Algebraic equation. Algebraic surface. Algebraic variety. Automorphic form. Automorphism. Big O notation. Bilinear form. Borromean rings. Boundary (topology). Braid group. Cartesian product. Central series. Chain rule. Characteristic polynomial. Coefficient. Cohomological dimension. Commutative ring. Commutator subgroup. Complex Lie group. Complex coordinate space. Complex manifold. Complex number. Conjugacy class. Connected sum. Coprime integers. Coset. Counterexample. Cyclic group. Dedekind domain. Diagram (category theory). Diffeomorphism. Disjoint union. Divisibility rule. Double coset. Equation. Equivalence class. Euler characteristic. Fiber bundle. Finite group. Fundamental group. Generating set of a group. Graded ring. Graph product. Group ring. Groupoid. Heegaard splitting. Holomorphic function. Homeomorphism. Homological algebra. Homology (mathematics). Homology sphere. Homomorphism. Homotopy group. Homotopy sphere. Homotopy. Hurewicz theorem. Infimum and supremum. Integer matrix. Integer. Intersection number (graph theory). Intersection theory. Knot group. Knot polynomial. Loop space. Main diagonal. Manifold. Mapping cylinder. Mathematical induction. Meromorphic function. Monodromy. Monomorphism. Multiplicative group. Permutation. Poincaré conjecture. Principal ideal domain. Proportionality (mathematics). Quotient space (topology). Riemann sphere. Riemann surface. Seifert fiber space. Simplicial category. Special case. Spectral sequence. Subgroup. Submanifold. Surjective function. Symmetric group. Symplectic matrix. Theorem. Three-dimensional space (mathematics). Topology. Torus knot. Triangle group. Variable (mathematics). Weak equivalence (homotopy theory). Birman, Joan S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Cappell, Sylvain E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Cossey, John, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Goldsmith, Deborah L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Levine, Jerome, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lomonaco, S. J ., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Milnor, John, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Montesinos, Jose M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Neuwirth, L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Papakyriakopoulos, C. D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Perko, Kenneth A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Shalen, Peter B., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Shaneson, Julius L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Smythe, N., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Stallings, John R., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Strasser, Elvira Rapaport, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Trotter, H. F ., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Whitten, Wilbur, 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 9780691081700 https://doi.org/10.1515/9781400881512 https://www.degruyter.com/isbn/9781400881512 Cover https://www.degruyter.com/document/cover/isbn/9781400881512/original |
language |
English |
format |
eBook |
author |
Neuwirth, Lee Paul, Neuwirth, Lee Paul, |
spellingShingle |
Neuwirth, Lee Paul, Neuwirth, Lee Paul, Knots, Groups and 3-Manifolds (AM-84), Volume 84 : Papers Dedicated to the Memory of R.H. Fox. (AM-84) / Annals of Mathematics Studies ; Frontmatter -- CONTENTS -- INTRODUCTION -- BIBLIOGRAPHY, RALPH HARTZLER FOX (1913-1973) -- Knots and Links -- SYMMETRIC FIBERED LINKS -- KNOT MODULES -- THE THIRD HOMOTOPY GROUP OF SOME HIGHER DIMENSIONAL KNOTS -- OCTAHEDRAL KNOT COVERS -- SOME KNOTS SPANNED BY MORE THAN ONE UNKNOTTED SURFACE OF MINIMAL GENUS -- GROUPS AND MANIFOLDS CHARACTERIZING LINKS -- Group Theory -- HNN GROUPS AND GROUPS WITH CENTER -- QUOTIENTS OF THE POWERS OF THE AUGMENTATION IDEAL IN A GROUP RING -- KNOT-LIKE GROUPS -- 3-Dimensional Manifolds -- ON THE EQUIVALENCE OF HEEGAARD SPLITTINGS OF CLOSED, ORIENT ABLE 3-MANIFOLDS -- BRANCHED CYCLIC COVERINGS -- ON THE 3-DIMENSIONAL BRIESKORN MANIFOLDS M(p,q,r) -- SURGERY ON LINKS AND DOUBLE BRANCHED COVERS OF S3 -- PLANAR REGULAR COVERINGS OF ORIENTABLE CLOSED SURFACES -- INFINITELY DIVISIBLE ELEMENTS IN 3-MANIFOLD GROUPS -- Backmatter |
author_facet |
Neuwirth, Lee Paul, Neuwirth, Lee Paul, Birman, Joan S., Birman, Joan S., Cappell, Sylvain E., Cappell, Sylvain E., Cossey, John, Cossey, John, Goldsmith, Deborah L., Goldsmith, Deborah L., Levine, Jerome, Levine, Jerome, Lomonaco, S. J ., Lomonaco, S. J ., Milnor, John, Milnor, John, Montesinos, Jose M., Montesinos, Jose M., Neuwirth, L., Neuwirth, L., Papakyriakopoulos, C. D., Papakyriakopoulos, C. D., Perko, Kenneth A., Perko, Kenneth A., Shalen, Peter B., Shalen, Peter B., Shaneson, Julius L., Shaneson, Julius L., Smythe, N., Smythe, N., Stallings, John R., Stallings, John R., Strasser, Elvira Rapaport, Strasser, Elvira Rapaport, Trotter, H. F ., Trotter, H. F ., Whitten, Wilbur, Whitten, Wilbur, |
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Birman, Joan S., Birman, Joan S., Cappell, Sylvain E., Cappell, Sylvain E., Cossey, John, Cossey, John, Goldsmith, Deborah L., Goldsmith, Deborah L., Levine, Jerome, Levine, Jerome, Lomonaco, S. J ., Lomonaco, S. J ., Milnor, John, Milnor, John, Montesinos, Jose M., Montesinos, Jose M., Neuwirth, L., Neuwirth, L., Papakyriakopoulos, C. D., Papakyriakopoulos, C. D., Perko, Kenneth A., Perko, Kenneth A., Shalen, Peter B., Shalen, Peter B., Shaneson, Julius L., Shaneson, Julius L., Smythe, N., Smythe, N., Stallings, John R., Stallings, John R., Strasser, Elvira Rapaport, Strasser, Elvira Rapaport, Trotter, H. F ., Trotter, H. F ., Whitten, Wilbur, Whitten, Wilbur, |
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MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR |
author_sort |
Neuwirth, Lee Paul, |
title |
Knots, Groups and 3-Manifolds (AM-84), Volume 84 : Papers Dedicated to the Memory of R.H. Fox. (AM-84) / |
title_sub |
Papers Dedicated to the Memory of R.H. Fox. (AM-84) / |
title_full |
Knots, Groups and 3-Manifolds (AM-84), Volume 84 : Papers Dedicated to the Memory of R.H. Fox. (AM-84) / Lee Paul Neuwirth. |
title_fullStr |
Knots, Groups and 3-Manifolds (AM-84), Volume 84 : Papers Dedicated to the Memory of R.H. Fox. (AM-84) / Lee Paul Neuwirth. |
title_full_unstemmed |
Knots, Groups and 3-Manifolds (AM-84), Volume 84 : Papers Dedicated to the Memory of R.H. Fox. (AM-84) / Lee Paul Neuwirth. |
title_auth |
Knots, Groups and 3-Manifolds (AM-84), Volume 84 : Papers Dedicated to the Memory of R.H. Fox. (AM-84) / |
title_alt |
Frontmatter -- CONTENTS -- INTRODUCTION -- BIBLIOGRAPHY, RALPH HARTZLER FOX (1913-1973) -- Knots and Links -- SYMMETRIC FIBERED LINKS -- KNOT MODULES -- THE THIRD HOMOTOPY GROUP OF SOME HIGHER DIMENSIONAL KNOTS -- OCTAHEDRAL KNOT COVERS -- SOME KNOTS SPANNED BY MORE THAN ONE UNKNOTTED SURFACE OF MINIMAL GENUS -- GROUPS AND MANIFOLDS CHARACTERIZING LINKS -- Group Theory -- HNN GROUPS AND GROUPS WITH CENTER -- QUOTIENTS OF THE POWERS OF THE AUGMENTATION IDEAL IN A GROUP RING -- KNOT-LIKE GROUPS -- 3-Dimensional Manifolds -- ON THE EQUIVALENCE OF HEEGAARD SPLITTINGS OF CLOSED, ORIENT ABLE 3-MANIFOLDS -- BRANCHED CYCLIC COVERINGS -- ON THE 3-DIMENSIONAL BRIESKORN MANIFOLDS M(p,q,r) -- SURGERY ON LINKS AND DOUBLE BRANCHED COVERS OF S3 -- PLANAR REGULAR COVERINGS OF ORIENTABLE CLOSED SURFACES -- INFINITELY DIVISIBLE ELEMENTS IN 3-MANIFOLD GROUPS -- Backmatter |
title_new |
Knots, Groups and 3-Manifolds (AM-84), Volume 84 : |
title_sort |
knots, groups and 3-manifolds (am-84), volume 84 : papers dedicated to the memory of r.h. fox. (am-84) / |
series |
Annals of Mathematics Studies ; |
series2 |
Annals of Mathematics Studies ; |
publisher |
Princeton University Press, |
publishDate |
2016 |
physical |
1 online resource (346 p.) Issued also in print. |
contents |
Frontmatter -- CONTENTS -- INTRODUCTION -- BIBLIOGRAPHY, RALPH HARTZLER FOX (1913-1973) -- Knots and Links -- SYMMETRIC FIBERED LINKS -- KNOT MODULES -- THE THIRD HOMOTOPY GROUP OF SOME HIGHER DIMENSIONAL KNOTS -- OCTAHEDRAL KNOT COVERS -- SOME KNOTS SPANNED BY MORE THAN ONE UNKNOTTED SURFACE OF MINIMAL GENUS -- GROUPS AND MANIFOLDS CHARACTERIZING LINKS -- Group Theory -- HNN GROUPS AND GROUPS WITH CENTER -- QUOTIENTS OF THE POWERS OF THE AUGMENTATION IDEAL IN A GROUP RING -- KNOT-LIKE GROUPS -- 3-Dimensional Manifolds -- ON THE EQUIVALENCE OF HEEGAARD SPLITTINGS OF CLOSED, ORIENT ABLE 3-MANIFOLDS -- BRANCHED CYCLIC COVERINGS -- ON THE 3-DIMENSIONAL BRIESKORN MANIFOLDS M(p,q,r) -- SURGERY ON LINKS AND DOUBLE BRANCHED COVERS OF S3 -- PLANAR REGULAR COVERINGS OF ORIENTABLE CLOSED SURFACES -- INFINITELY DIVISIBLE ELEMENTS IN 3-MANIFOLD GROUPS -- Backmatter |
isbn |
9781400881512 9783110494914 9783110442496 9780691081700 |
url |
https://doi.org/10.1515/9781400881512 https://www.degruyter.com/isbn/9781400881512 https://www.degruyter.com/document/cover/isbn/9781400881512/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
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510 - Mathematics |
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514 - Topology |
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514/.224 |
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3514 3224 |
dewey-raw |
514/.224 |
dewey-search |
514/.224 |
doi_str_mv |
10.1515/9781400881512 |
oclc_num |
979746990 |
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Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
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Knots, Groups and 3-Manifolds (AM-84), Volume 84 : Papers Dedicated to the Memory of R.H. Fox. (AM-84) / |
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This book contains fifteen papers in which new results are proved in all three of these fields. These papers are dedicated to the memory of Ralph H. Fox, one of the world's leading topologists, by colleagues, former students, and friends.In knot theory, papers have been contributed by Goldsmith, Levine, Lomonaco, Perko, Trotter, and Whitten. Of these several are devoted to the study of branched covering spaces over knots and links, while others utilize the braid groups of Artin.Cossey and Smythe, Stallings, and Strasser address themselves to group theory. In his contribution Stallings describes the calculation of the groups In/In+1 where I is the augmentation ideal in a group ring RG. As a consequence, one has for each k an example of a k-generator l-relator group with no free homomorphs. In the third part, papers by Birman, Cappell, Milnor, Montesinos, Papakyriakopoulos, and Shalen comprise the treatment of 3-manifolds. Milnor gives, besides important new results, an exposition of certain aspects of our current knowledge regarding the 3- dimensional Brieskorn manifolds.</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">Group theory.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Knot theory.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Three-manifolds (Topology).</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">3-manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">3-sphere.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Additive group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Alexander duality.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Algebraic equation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Algebraic surface.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Algebraic variety.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Automorphic form.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Automorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Big O notation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Bilinear form.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Borromean rings.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Boundary (topology).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Braid group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cartesian product.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Central series.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Chain rule.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Characteristic polynomial.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Coefficient.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cohomological dimension.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Commutative ring.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Commutator subgroup.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Complex Lie group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Complex coordinate space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Complex manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Complex number.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Conjugacy class.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Connected sum.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Coprime integers.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Coset.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Counterexample.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cyclic group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Dedekind domain.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Diagram (category theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Diffeomorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Disjoint union.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Divisibility rule.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Double coset.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Equation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Equivalence class.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Euler characteristic.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fiber bundle.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Finite group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fundamental group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Generating set of a group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Graded ring.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Graph product.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Group ring.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Group theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Groupoid.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Heegaard splitting.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Holomorphic function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homeomorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homological algebra.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homology (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homology sphere.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homomorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homotopy group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homotopy sphere.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homotopy.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hurewicz theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Infimum and supremum.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Integer matrix.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Integer.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Intersection number (graph theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Intersection theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Knot group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Knot polynomial.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Loop space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Main diagonal.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Mapping cylinder.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Mathematical induction.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Meromorphic function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Monodromy.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Monomorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Multiplicative group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Permutation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Poincaré conjecture.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Principal ideal domain.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Proportionality (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Quotient space (topology).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Riemann sphere.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Riemann surface.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Seifert fiber space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Simplicial category.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Special case.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Spectral sequence.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Subgroup.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Submanifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Surjective function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Symmetric group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Symplectic matrix.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Three-dimensional space (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Topology.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Torus knot.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Triangle group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Variable (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Weak equivalence (homotopy theory).</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Birman, Joan S., </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">Cappell, Sylvain 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">Cossey, 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">Goldsmith, Deborah 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">Levine, 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">Lomonaco, S. 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">Milnor, 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">Montesinos, Jose M., </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">Neuwirth, 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">Papakyriakopoulos, C. D., </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">Perko, Kenneth 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">Shalen, Peter 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">Shaneson, Julius 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">Smythe, N., </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">Stallings, John R., </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">Strasser, Elvira Rapaport, </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">Trotter, H. 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