Homotopy and homology of fibred spaces

Mathematics – Algebraic Topology

Scientific paper

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LaTeX file, 40 pages

Scientific paper

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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