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Title Advances in two-dimensional homotopy and combinatorial group theory / edited by Wolfgang Metzler, Johann Wolfgang Goethe-Universität Frankfurt, Germany ; Stephan Rosebrock, Pädagogische Hochschule Karlsruhe, Germany
Published Cambridge : Cambridge University Press, 2018
©2018

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Description 1 online resource (x, 179 pages)
Series London Mathematical Society lecture note series ; 446
London Mathematical Society lecture note series ; 446.
Contents A survey of recent progress on some problems in 2-dimensional topology / Jens Harlander -- Further results concerning the Andrews-Curtis-conjecture and its generalizations / Cynthia Hog-Angeloni and Wolfgang Metzler -- Aspects of TQFT and computational algebra / Holger Kaden and Simon King -- Labelled oriented trees and the Whitehead-conjecture / Stephan Rosebrock -- 2-complexes and 3-manifolds / Janina Glock, Cynthia Hog-Angeloni and Sergei Matveev -- The relation gap problem / Jens Harlander -- On the relation gap problem for free products / Cynthia Hog-Angeloni and Wolfgang Metzler
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 bringin#g matters entirely up to date
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Homotopy theory.
Combinatorial group theory.
Low-dimensional topology.
MATHEMATICS -- Topology.
Homotopía
Análisis combinatorio
Combinatorial group theory
Homotopy theory
Low-dimensional topology
Form Electronic book
Author Rosebrock, Stephan, editor.
Metzler, W. (Wolfgang), editor.
ISBN 9781108640862
1108640869
9781316555798
1316555798