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LMS: 197 Two Dimensional Homotopy (London Mathematical Society Lecture Note Series, Series Number 197) - Softcover
Book 166 of 387: London Mathematical Society Lecture Notes
Synopsis
This book considers the current state of knowledge in the geometric and algebraic aspects of two-dimensional homotopy theory.
"synopsis" may belong to another edition of this title.
Book Description
The editors start with introductory chapters on low-dimensional topology, covering both the geometric and algebraic sides of the subject, the latter including crossed modules, Reidemeister-Peiffer identities, and a concrete and modern discussion of J. H. C. Whitehead's algebraic classification of 2-dimensional homotopy types. Further chapters have been skilfully selected and woven together to form a coherent picture. The latest algebraic results and their applications to 3-and 4-dimensional manifolds are dealt with. The geometric nature of the subject is illustrated to the full by over 100 diagrams. Final chapters summarise and contribute to the present status of the conjectures of Zeeman, Whitehead and Andrews-Curtis. No other book covers all these topics.
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London Mathematical Society Lecture Note Series: Two Dimensional Homotopy and Combinatorial Group Theory (Volume 197)
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Cambridge University Press, 1993
ISBN 10: 0521447003
ISBN 13: 9780521447003
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Condition: Good. Volume 197. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,650grams, ISBN:9780521447003. Seller Inventory # 3898181
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Two-Dimensional Homotopy and Combinatorial Group Theory (London Mathematical Society Lecture Note Series, Series Number 197) (Volume 0)
Published by
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ISBN 10: 0521447003
ISBN 13: 9780521447003
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Condition: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Seller Inventory # Z1-M-009-02194
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Two-Dimensional Homotopy and Combinatorial Group Theory (London Mathematical Society Lecture Note Series, Series Number 197) (Volume 0)
Published by
Cambridge University Press, 1994
ISBN 10: 0521447003
ISBN 13: 9780521447003
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Two-dimensional homotopy and combinatorial group theory ed. Lecture note series 197.
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Cambridge, Cambridge University Press, 1993
ISBN 10: 0521447003
ISBN 13: 9780521447003
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Softcover. Condition: Gut. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 57 TWO 9780521447003 Sprache: Englisch Gewicht in Gramm: 1150. Seller Inventory # 2505659
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Two-dimensional homotopy and combinatorial group theory / edited by Cynthia Hog-Angeloni, Wolfgang Metzler and Allan J. Sieradski
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Cambridge : Cambridge University Press, 1993
ISBN 10: 0521447003
ISBN 13: 9780521447003
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Seller: MW Books Ltd., Galway, Ireland
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First Edition. Very good paperback copy; edges slightly dust-dulled and nicked. Remains particularly well-preserved overall; tight, bright, and clean. Physical description; xi, 412 pages. Notes; Includes bibliographical references (p. 381-407) and index. Contents; Cover; Title; Copyright; Contents; Editors' Preface; Addresses of Authors; I Geometric Aspects of Two-Dimensional Complexes; 1 Complexes of Low Dimensions and Group Presentations . . .; 1.1 Inductive construction of CW-complexes; 1.2 Questions of subdivision and triangulation; 1.3 Reading off presentations for TTI of a CW-complex; 1.4 PLCW-complexes; 2 Simple-Homotopy and Low Dimensions; 2.1 A survey on geometric simple-homotopy; 2.2 Some examples; 2.3 3-deformation types and (Q**-transformations; 3 P.L. Embeddings of 2-Complexes into Manifolds; 3.1 3-dimensional thickenings. 3.2 4- and 5-dimensional thickenings4 Three Conjectures and Further Problems; 4.1 (Generalized) Andrews-Curtis conjecture; 4.2 Zeeman collapsing conjecture; 4.3 Whitehead asphericity conjecture as a special problem of dimension 2; 4.4 Further open questions; II Algebraic Topology for Two Dimensional Complexes; 1 Techniques in Homotopy; 1.1 Simplicial Techniques; 1.2 Combinatorial Maps; 2 Homotopy Groups for 2-Complexes 62; 2.1 Fundamental sequence for a 2-complex K; 2.2 II(K) and the homotopy type of a 2-complex K; 3 Equivariant World for 2-Complexes; 3.1 Hurewicz Isomorphism Theorems. 3.2 Two Dimensional Equivariant World4 Mac Lane-Whitehead Algebraic Types; 4.1 Homology and Cohomology of Groups; 4.2 Maps between 2-complexes; III Homotopy and Homology Classification of 2-Complexes; 1 Bias Invariant & Homology Classification; 1.1 Bias as a homotopy obstruction; 1.2 Bias as the complete homology obstruction; 1.3 Homotopy distinction of twisted presentations; 2 Classifications for Finite Abelian TTI Ill; 2.1 The Browning obstruction group; 2.2 Homotopy classification for finite abelian TTI; 3 Classifications for Non-Finite TTI (with Cynthia Hog-Angeloni); 3.1 Infinite groups. generalized Browning invariant3.2 Results when TTI is a free product of cyclic groups; 3.3 Trees of homotopy types, simple-homotopy types, and 3_deformation types; 3.4 Problems for Chapter III; IV Crossed Modules and n2 Homotopy Modules; 1 Introduction; 2 Crossed and Precrossed Modules; 2.1 Free crossed modules; 2.2 A characterization of free crossed modules; 2.3 Projective crossed modules; 2.4 Two-complexes and projective crossed modules; 2.5 The kernel of a projective crossed module; 3 On the Second Homotopy Module of a 2-Complex; 3.1 Coproducts of crossed modules; 3.2 A special case. 3.3 On the kernel of a coproduct of crossed modules3.4 Computing 2 from subcomplexes; 4 Identity Properties; 4.1 H-Cockcroft complexes; 4.2 Characterizing Cockcroft complexes; 4.3 Minimal subgroups; V Calculating Generators of n2; 1 The Theory of Pictures; 1.1 Pictures; 1.2 Homotopy theory of pictures; 2 Generation of 2; 2.1 Asphericity; 2.2 A Dehn algorithm for 2; 2.3 Subpresentations; 3 Applications and Results; 3.1 Universal group of a family of subgroups; 3.2 Generalized graphs of groups; 3.3 Split extensions; 3.4 Iterative constructions; 3.5 The Steinberg group and K3 of a ring. 3.6 Presentations defined using simplicial complexes. Subjects; Homotopy theory. Combinatorial group theory. Low-dimensional topology. 1 Kg. Seller Inventory # 432888
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Two-dimensional homotopy and combinatorial group theory / edited by Cynthia Hog-Angeloni, Wolfgang Metzler and Allan J. Sieradski
Published by
Cambridge : Cambridge University Press, 1993
ISBN 10: 0521447003
ISBN 13: 9780521447003
Used
Softcover
First Edition
Seller: MW Books, New York, NY, U.S.A.
Seller rating 5 out of 5 stars
First Edition. Very good paperback copy; edges slightly dust-dulled and nicked. Remains particularly well-preserved overall; tight, bright, and clean. Physical description; xi, 412 pages. Notes; Includes bibliographical references (p. 381-407) and index. Contents; Cover; Title; Copyright; Contents; Editors' Preface; Addresses of Authors; I Geometric Aspects of Two-Dimensional Complexes; 1 Complexes of Low Dimensions and Group Presentations . . .; 1.1 Inductive construction of CW-complexes; 1.2 Questions of subdivision and triangulation; 1.3 Reading off presentations for TTI of a CW-complex; 1.4 PLCW-complexes; 2 Simple-Homotopy and Low Dimensions; 2.1 A survey on geometric simple-homotopy; 2.2 Some examples; 2.3 3-deformation types and (Q**-transformations; 3 P.L. Embeddings of 2-Complexes into Manifolds; 3.1 3-dimensional thickenings. 3.2 4- and 5-dimensional thickenings4 Three Conjectures and Further Problems; 4.1 (Generalized) Andrews-Curtis conjecture; 4.2 Zeeman collapsing conjecture; 4.3 Whitehead asphericity conjecture as a special problem of dimension 2; 4.4 Further open questions; II Algebraic Topology for Two Dimensional Complexes; 1 Techniques in Homotopy; 1.1 Simplicial Techniques; 1.2 Combinatorial Maps; 2 Homotopy Groups for 2-Complexes 62; 2.1 Fundamental sequence for a 2-complex K; 2.2 II(K) and the homotopy type of a 2-complex K; 3 Equivariant World for 2-Complexes; 3.1 Hurewicz Isomorphism Theorems. 3.2 Two Dimensional Equivariant World4 Mac Lane-Whitehead Algebraic Types; 4.1 Homology and Cohomology of Groups; 4.2 Maps between 2-complexes; III Homotopy and Homology Classification of 2-Complexes; 1 Bias Invariant & Homology Classification; 1.1 Bias as a homotopy obstruction; 1.2 Bias as the complete homology obstruction; 1.3 Homotopy distinction of twisted presentations; 2 Classifications for Finite Abelian TTI Ill; 2.1 The Browning obstruction group; 2.2 Homotopy classification for finite abelian TTI; 3 Classifications for Non-Finite TTI (with Cynthia Hog-Angeloni); 3.1 Infinite groups. generalized Browning invariant3.2 Results when TTI is a free product of cyclic groups; 3.3 Trees of homotopy types, simple-homotopy types, and 3_deformation types; 3.4 Problems for Chapter III; IV Crossed Modules and n2 Homotopy Modules; 1 Introduction; 2 Crossed and Precrossed Modules; 2.1 Free crossed modules; 2.2 A characterization of free crossed modules; 2.3 Projective crossed modules; 2.4 Two-complexes and projective crossed modules; 2.5 The kernel of a projective crossed module; 3 On the Second Homotopy Module of a 2-Complex; 3.1 Coproducts of crossed modules; 3.2 A special case. 3.3 On the kernel of a coproduct of crossed modules3.4 Computing 2 from subcomplexes; 4 Identity Properties; 4.1 H-Cockcroft complexes; 4.2 Characterizing Cockcroft complexes; 4.3 Minimal subgroups; V Calculating Generators of n2; 1 The Theory of Pictures; 1.1 Pictures; 1.2 Homotopy theory of pictures; 2 Generation of 2; 2.1 Asphericity; 2.2 A Dehn algorithm for 2; 2.3 Subpresentations; 3 Applications and Results; 3.1 Universal group of a family of subgroups; 3.2 Generalized graphs of groups; 3.3 Split extensions; 3.4 Iterative constructions; 3.5 The Steinberg group and K3 of a ring. 3.6 Presentations defined using simplicial complexes. Subjects; Homotopy theory. Combinatorial group theory. Low-dimensional topology. 1 Kg. Seller Inventory # 432888
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Two-Dimensional Homotopy and Combinatorial Group Theory
Published by
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ISBN 10: 0521447003
ISBN 13: 9780521447003
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Two-Dimensional Homotopy and Combinatorial Group Theory (London Mathematical Society Lecture Note Series, Series Number 197) (Volume 0)
Published by
Cambridge University Press, 1994
ISBN 10: 0521447003
ISBN 13: 9780521447003
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Two-Dimensional Homotopy and Combinatorial Group Theory
Published by
Cambridge University Press, 1994
ISBN 10: 0521447003
ISBN 13: 9780521447003
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Two-Dimensional Homotopy and Combinatorial Group Theory (London Mathematical Society Lecture Note Series, Series Number 197) (Volume 0)
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Cambridge University Press, 1994
ISBN 10: 0521447003
ISBN 13: 9780521447003
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