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Two-Dimensional Homotopy and Combinatorial Group Theory

Two-Dimensional Homotopy and Combinatorial Group Theory

Paperback

Series: London Mathematical Society Lecture Note, Book 197

General MathematicsGeometry

ISBN10: 0521447003
ISBN13: 9780521447003
Publisher: Cambridge University Press
Published: Dec 9 1993
Pages: 428
Weight: 1.20
Height: 0.89 Width: 6.04 Depth: 8.99
Language: English
The geometric and algebraic aspects of two-dimensional homotopy theory are both important areas of current research. Basic work on two-dimensional homotopy theory dates back to Reidemeister and Whitehead. The contributors to this book consider the current state of research beginning with introductory chapters on low-dimensional topology and covering crossmodules, Peiffer-Reid identities, and concretely discussing P2 theory. The chapters have been skillfully woven together to form a coherent picture, and the geometric nature of the subject is illustrated by over 100 diagrams. The final chapters round off neatly with a look at the present status of the conjectures of Zeeman, Whitehead and Andrews-Curtis.

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Geometry