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Title Two-dimensional homotopy and combinatorial group theory / edited by Cynthia Hog-Angeloni, Wolfgang Metzler and Allan J. Sieradski.

Published Cambridge ; New York, NY : Cambridge University Press, 1993.


Location Call No. Status
Physical description xi, 412 pages : illustrations ; 23 cm.
Series London Mathematical Society lecture note series ; 197.
London Mathematical Society lecture note series ; 197.
Bibliography Includes bibliographical references (pages 381-407) and index.
Contents I. Geometric Aspects of Two-Dimensional Complexes / Cynthia Hog-Angeloni and Wolfgang Metzler -- II. Algebraic Topology for Two Dimensional Complexes / Allan J. Sieradski -- III. Homotopy and Homology Classification of 2-Complexes / M. Paul Latiolais -- IV. Crossed Modules and [Pi[subscript 2]] Homotopy Modules / Micheal N. Dyer -- V. Calculating Generators of [Pi[subscript 2]] / William A. Bogley and Steve J. Pride -- VI. Applications of Diagrams to Decision Problems / Gunther Huck and Stephan Rosebrock -- VII. Fox Ideals, N-Torsion and Applications to Groups and 3-Manifolds / Martin Lustig -- VIII. (Singular) 3-Manifolds / Cynthia Hog-Angeloni and Allan J. Sieradski -- IX. Cancellation Results for 2-Complexes and 4-Manifolds and Some Applications / Ian Hambleton and Matthias Kreck -- X. J. H. C. Whitehead's Asphericity Question / William A. Bogley -- XI. Zeeman's Collapsing Conjecture / Sergei Matveev and Dale Rolfsen.
XII. The Andrews-Curtis Conjecture and its Generalizations / Cynthia Hog-Angeloni and Wolfgang Metzler.
Summary This book considers the current state of knowledge in the geometric and algebraic aspects of two-dimensional homotopy theory.
Other author Hog-Angeloni, Cynthia.
Metzler, W. (Wolfgang)
Sieradski, Allan J.
Subject Homotopy theory.
Combinatorial group theory.
Low-dimensional topology.
Algebraic topology.
ISBN 0521447003 (paperback)