Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, ... Theories, Simplicial Objects, and Resolutions - Rilegato

Baues, Hans-Joachim

 
9783540649847: Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, ... Theories, Simplicial Objects, and Resolutions

Sinossi

A new combinatorial foundation of the two concepts, based on a consideration of deep and classical results of homotopy theory, and an axiomatic characterization of the assumptions under which results in this field hold. Includes numerous explicit examples and applications in various fields of topology and algebra.

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Dalla quarta di copertina

This book considers 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 characterizes 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.

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Altre edizioni note dello stesso titolo

9783642084478: Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, ... Theories, Simplicial Objects, and Resolutions

Edizione in evidenza

ISBN 10:  3642084478 ISBN 13:  9783642084478
Casa editrice: Springer, 2010
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