Combinatorial Foundation of Homology and Homotopy
Hans-Joachim Baues
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Description for Combinatorial Foundation of Homology and Homotopy
Hardback. 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. Series: Springer Monographs in Mathematics. Num Pages: 380 pages, biography. BIC Classification: PBMW; PBPD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 22. Weight in Grams: 724.
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.
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.
Product Details
Format
Hardback
Publication date
1998
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
380
Condition
New
Series
Springer Monographs in Mathematics
Number of Pages
365
Place of Publication
Berlin, Germany
ISBN
9783540649847
SKU
V9783540649847
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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