Combinatorial Foundation of Homology and Homotopy : Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, Algebraic Theories, Simplicial Objects, and Resolutions /
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...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
1999.
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| Series: | Springer monographs in mathematics.
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xv, 365 pages) |
| ISBN: | 9783662113387 (electronic bk.) 3662113384 (electronic bk.) |
| ISSN: | 1439-7382 |