Overview

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.

Full Product Details

Author:   Wolfgang Metzler ,  Stephan Rosebrock
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Volume:   446
Dimensions:   Width: 15.20cm , Height: 1.10cm , Length: 22.70cm
Weight:   0.290kg
ISBN:  

9781316600900

ISBN 10:   1316600904
Pages:   290
Publication Date:   16 November 2017
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Tertiary & Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   Available To Order  
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Table of Contents

Preface Wolfgang Metzler and Stephan Rosebrock; List of contributors; 1. A survey of recent progress on some problems in 2-dimensional topology Jens Harlander; Appendix: geometric realization for algebraic 2-complexes with finite fundamental group F. Rudolf Beyl and Jens Harlander; 2. Further results concerning the Andrews–Curtis conjecture and its generalizations Cynthia Hog-Angeloni and Wolfgang Metzler; 3. Aspects of TQFT and computational algebra Holger Kaden and Simon King; 4. Labelled oriented trees and the Whitehead conjecture Stephan Rosebrock and Jens Harlander; 5. 2-complexes and 3-manifolds Janina Glock, Cynthia Hog-Angeloni and Sergei Matveev; 6. The relation gap problem Jens Harlander; 7. On the relation gap problem for free products Cynthia Hog-Angeloni and Wolfgang Metzler; References; Index; Erratum.

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Author Information

Wolfgang Metzler works in the Institute of Mathematics at Johann Wolfgang Goethe-Universität Frankfurt, Germany. Stephan Rosebrock works in the Institute of Mathematics and Computer Science at Pädagogische Hochschule Karlsruhe, Germany.

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