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Combinatorial Foundation of Homology and Homotopy

von Hans-Joachim Baues
Softcover - 9783642084478
106,99 €
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Hardcover - 9783540649847
106,99 €

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Weitere Formate

Hardcover - 9783540649847
106,99 €

Beschreibung

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.

Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, Algebraic Theories, Simplicial Objects, and Resolutions

Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, Algebraic Theories, Simplicial Objects, and Resolutions

Details

Verlag Springer Berlin
Ersterscheinung 15. Dezember 2010
Maße 23.5 cm x 15.5 cm
Gewicht 587 Gramm
Format Softcover
ISBN-13 9783642084478
Seiten 365

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