Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, Algebraic Theories, Simplicial Objects, and Resolutions
Hans-Joachim Baues (auth.)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.
Категорії:
Рік:
1999
Видання:
1
Видавництво:
Springer-Verlag Berlin Heidelberg
Мова:
english
Сторінки:
365
ISBN 10:
3662113384
ISBN 13:
9783662113387
Серії:
Springer Monographs in Mathematics
Файл:
PDF, 13.11 MB
IPFS:
,
english, 1999
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