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Homotopy and homology of fibred spaces

Hans-Joachim Baues·Davide L. Ferrario
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Abstract

We study fibred spaces with fibres in a structure category $\V$ 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.

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Hans-Joachim Baues, Davide L. Ferrario. 2002-08-23. Homotopy and homology of fibred spaces. https://arxiv.org/abs/math/0208187

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