Advances in two-dimensional homotopy and combinatorial group theory /
This volume presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Building on the foundations laid a quarter of a century ago in the volume Two-dimensional Homotopy and Combinatorial Group Theory (LMS 197), the editors here bring together much remarkable progress...
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Group Author: | ; |
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Published: |
Cambridge University Press,
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Publisher Address: | Cambridge, United Kingdom : |
Publication Dates: | 2018. |
Literature type: | Book |
Language: | English |
Series: |
London Mathematical Society lecture note series ;
446 |
Subjects: | |
Summary: |
This volume presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Building on the foundations laid a quarter of a century ago in the volume Two-dimensional Homotopy and Combinatorial Group Theory (LMS 197), the editors here bring together much remarkable progress that has been obtained in the intervening years. And while the fundamental open questions, such as the Andrews-Curtis Conjecture and the Whitehead asphericity problem remain to be (fully) solved, this book will provide both students and experts with an overview of the state of the art and work in progress. Ample references are included to the LMS 197 volume, as well as a comprehensive bibliography bringing matters entirely up to date. |
Carrier Form: | x, 179 pages : illustrations ; 23 cm. |
Bibliography: | Includes bibliographical references (pages [167]-176) and index. |
ISBN: |
9781316600900 1316600904 |
Index Number: | QA612 |
CLC: | O189.23 |
Call Number: | O189.23/A244-1 |
Contents: |
A survey of recent progress on some problems in 2-dimensional topology / Further results concerning the Andrews-Curtis conjectures and its generalizations / Aspects of TQFT and computational algebra / Labelled oriented trees and the Whitehead conjecture / 2-complexes and 3-manifolds / The relation gap problem / On the relation gap problem for free products / |