Combinatorial Foundation of Homology and Homotopy

Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, Algebraic Theories, Simplicial Objects, and Resolutions

By:

Hans-Joachim Baues

Format:

Paperback / softback

Series:

Springer Monographs in Mathematics

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Description

In this book we consider deep and classical results of homotopy theory like the homological Whitehead theorem, the Hurewicz theorem, the finiteness obstruction theorem of Wall, the theorems on Whitehead torsion and simple homotopy equivalences, and we characterize axiomatically the assumptions under which such results hold. This leads to a new combinatorial foundation of homology and homotopy. Numerous explicit examples and applications in various fields of topology and algebra are given.

Release date NZ

December 15th, 2010

Author

Hans-Joachim Baues

Audience

Professional & Vocational

Edition

Softcover reprint of hardcover 1st ed. 1999

Illustrations

XV, 365 p.

Pages

365

Series

Springer Monographs in Mathematics

Dimensions

156x234x20

ISBN-13

9783642084478

Product ID

9979869

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