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Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras,

Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, - Hardback

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Product Details
Author:
Hans-Joachim Baues
Publisher:
Springer
Publication Date:
Nov 27, 1998
Number of pages:
365 pages
Binding:
Hardback or Cased Book
ISBN-10:
3540649840
ISBN-13:
9783540649847

Overview

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.


  • | Author: Hans-Joachim Baues
  • | Publisher: Springer
  • | Publication Date: Nov 27, 1998
  • | Number of Pages: 365 pages
  • | Binding: Hardback or Cased Book
  • | ISBN-10: 3540649840
  • | ISBN-13: 9783540649847

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