Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, ... (Springer Monographs in Mathematics) - Hardcover

Baues, Hans-Joachim

 
9783540649847: Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, ... (Springer Monographs in Mathematics)
Hardcover
ISBN 10: 3540649840 ISBN 13: 9783540649847
Verlag: Springer, 1998

Inhaltsangabe

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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Von der hinteren Coverseite

This book considers 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 characterizes 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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Verlag
Springer
Erscheinungsdatum
1998
Sprache
Englisch
ISBN 10 
3540649840
ISBN 13 
9783540649847
Einband
Gebundene Ausgabe
Anzahl der Seiten
380
Kontakt zum Hersteller
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Deutschland

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Vorgestellte Ausgabe

ISBN 10:  3642084478 ISBN 13:  9783642084478
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Softcover