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

Baues, Hans-Joachim

Hardcover

ISBN 10: 3540649840 ISBN 13: 9783540649847

Publisher: Springer, 1998

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 1998
• Language: English
• ISBN 10: 3540649840
• ISBN 13: 9783540649847
• Binding: Hardcover
• Number of pages: 380