Non-Fiction Books:

Combinatorial Foundation of Homology and Homotopy

Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, Algebraic Theories, Simplicial Objects, and Resolutions
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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
November 27th, 1998
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
  • Undergraduate
Illustrations
XV, 365 p.
Pages
365
Dimensions
156x234x22
ISBN-13
9783540649847
Product ID
2108444

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