Advances in Two-Dimensional Homotopy and Combinatorial Group Theory

by Stephan Rosebrock & Wolfgang Metzler
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Publisher: Cambridge University Press

Series: London Mathematical Society Lecture Note Series

Publication Date: November 20, 2017

ISBN: 9781108644235

Binding: Kobo eBook

Availability: eBook

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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.