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portada combinatorial foundation of homology and homotopy: applications to spaces, diagrams, transformation groups, compactifications, differential algebras, (in English)
Type
Physical Book
Publisher
Author
Year
2010
Language
Inglés
Pages
365
Format
Paperback
Dimensions
23.4 x 15.6 x 2.0 cm
Weight
0.54 kg.
ISBN
3642084478
ISBN13
9783642084478
Categories

combinatorial foundation of homology and homotopy: applications to spaces, diagrams, transformation groups, compactifications, differential algebras, (in English)

Baues, Hans-Joachim (Author) · Springer · Paperback

combinatorial foundation of homology and homotopy: applications to spaces, diagrams, transformation groups, compactifications, differential algebras, (in English) - Baues, Hans-Joachim

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Synopsis "combinatorial foundation of homology and homotopy: applications to spaces, diagrams, transformation groups, compactifications, differential algebras, (in English)"

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.

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