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612-822-4611
Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras,

Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras,

Hardcover

Series: Springer Monographs in Mathematics

AlgebraGeneral Mathematics

ISBN10: 3540649840
ISBN13: 9783540649847
Publisher: Springer Nature
Published: Nov 27 1998
Pages: 365
Weight: 1.59
Height: 0.88 Width: 6.14 Depth: 9.21
Language: 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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