We study fibred spaces with fibres in a structure category and we show that cellular approximation, Blakers–Massey theorem, Whitehead theorems, obstruction theory, Hurewicz homomorphism, Wall finiteness obstruction, and Whitehead torsion theorem hold for fibred spaces. For this we introduce the cohomology of fibred spaces.
Baues, H., Ferrario, D. (2004). Homotopy and homology of fibred spaces. TOPOLOGY AND ITS APPLICATIONS, 139(1-3), 63-96 [10.1016/j.topol.2003.09.004].
Homotopy and homology of fibred spaces
FERRARIO, DAVIDE LUIGI
2004
Abstract
We study fibred spaces with fibres in a structure category and we show that cellular approximation, Blakers–Massey theorem, Whitehead theorems, obstruction theory, Hurewicz homomorphism, Wall finiteness obstruction, and Whitehead torsion theorem hold for fibred spaces. For this we introduce the cohomology of fibred spaces.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
