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Guide Two-dimensional homotopy and combinatorial group theory

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Skickas inom vardagar. Basic work on two-dimensional homotopy theory dates back to K. Reidemeister and J.

Much work in this area has been done since then, and this book considers the current state of knowledge in all the aspects of the subject. The editors start with introductory chapters on low-dimensional topology, covering both the geometric and algebraic sides of the subject, the latter including crossed modules, Reidemeister-Peiffer identities, and a concrete and modern discussion of Whitehead's algebraic classification of 2-dimensional homotopy types.


  • Two-dimensional homotopy and combinatorial group theory.
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Om boka Advances in Two-Dimensional Homotopy and Combinatorial Group Theory 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 , 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 volume, as well as a comprehensive bibliography bringing matters entirely up to date.

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Two-Dimensional Homotopy and Combinatorial Group Theory

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