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Advances in Two-Dimensional Homotopy and Combinatorial Group Theory

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Advances in Two-Dimensional Homotopy and Combinatorial Group Theory

Advances in Two-Dimensional Homotopy and Combinatorial Group Theory

Wolfgang Metzler, Johann Wolfgang Goethe-Universität Frankfurt
Stephan Rosebrock, Pädagogische Hochschule Karlsruhe, Germany
November 2017
Available
Paperback
9781316600900
£52.99
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Paperback
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    Description

    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.

    • Provides an overview of the state of research in two-dimensional homotopy theory
    • Builds on the previous volume published in the same series in 1993
    • Includes an updated bibliography

    Product details

    November 2017
    Paperback
    9781316600900
    290 pages
    227 × 152 × 11 mm
    0.29kg
    50 b/w illus.
    Available

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    Contents

    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.
      • Show more
    Courses
    Resources
    Resources for
    Type
    W.J. Browning: Normal generators of finite groups
    Size: 1.44 MB
    Type: application/pdf
    A. Kühn: extract from Stabile Teilkomplexe und Andrews-Curtis-Operationen
    Size: 2.71 MB
    Type: application/pdf
    Additional Information
    About the authors
      Contributors

    • Wolfgang Metzler, Stephan Rosebrock, Jens Harlander, F. Rudolf Beyl, Cynthia Hog-Angeloni, Holger Kaden, Simon King, Janina Glock, Sergei Matveev

      • Editors
    • Wolfgang Metzler , Johann Wolfgang Goethe-Universität Frankfurt

      Wolfgang Metzler works in the Institute of Mathematics at Johann Wolfgang Goethe-Universität Frankfurt, Germany.

    • Stephan Rosebrock , Pädagogische Hochschule Karlsruhe, Germany

      Stephan Rosebrock works in the Institute of Mathematics and Computer Science at Pädagogische Hochschule Karlsruhe, Germany.

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