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Combinatorial Foundation of Homology and Homotopy

Hans-Joachim Baues
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.
Autor: Baues, Hans-Joachim
EAN: 9783540649847
Sprache: Englisch
Seitenzahl: 365
Produktart: Gebunden
Verlag: Springer Springer, Berlin Springer Berlin Heidelberg
Untertitel: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, Algebraic Theories, Simplicial Objects, and Resolutions
Schlagworte: Algebraische Topologie Homologische Algebra Homotopie
Größe: 234
Gewicht: 664 g