| Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, Contributor(s): Baues, Hans-Joachim (Author) |
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ISBN: 3642084478 ISBN-13: 9783642084478 Publisher: Springer OUR PRICE: $104.49 Product Type: Paperback - Other Formats Published: December 2010 |
| Additional Information |
| BISAC Categories: - Mathematics | Topology - General - Mathematics | Algebra - General - Mathematics | Algebra - Abstract |
| Dewey: 512.66 |
| Series: Springer Monographs in Mathematics |
| Physical Information: 0.8" H x 6.14" W x 9.21" (1.19 lbs) 365 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |