By Ranicki A.A. (ed.)
A set of papers at the topology of manifolds by way of A.A.Ranicki (editor), A.J.Casson, D.P.Sullivan, M.A.Armstrong, C.P.Rourke, and G.E.Cooke
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Example text
II. Homotopy Properties of Block Bundles Let ξ be a block bundle over B with fibre F . A block fibration for ξ is a P L map π : E(ξ)−−→|B| such that Eβ (ξ) = π −1 (β) for each β ∈ B. A block homotopy for ξ is a P L map H : E(ξ) × I−−→|B| such that, for all t ∈ I, Ht : E(ξ)−−→|B| is a block fibration for ξ. Lemma 6. Any block bundle ξ has a block fibration, and any two block fibrations for ξ are block homotopic. Proof. Write B r for the r-skeleton of B. There is a unique block fibration π : E(ξ|B 0)−−→|B 0 |.
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