Advances in Two-Dimensional Homotopy and Combinatorial Group Theory

Nonfiction, Science & Nature, Mathematics, Topology, Group Theory
Cover of the book Advances in Two-Dimensional Homotopy and Combinatorial Group Theory by , Cambridge University Press
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Author: ISBN: 9781108644235
Publisher: Cambridge University Press Publication: November 16, 2017
Imprint: Cambridge University Press Language: English
Author:
ISBN: 9781108644235
Publisher: Cambridge University Press
Publication: November 16, 2017
Imprint: Cambridge University Press
Language: English

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.

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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.

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