Fiber preserving equivalence

Miller, Richard T.

doi:10.1090/S0002-9947-1975-0388404-7

Fiber preserving equivalence
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Trans. Amer. Math. Soc. 207 (1975), 241-268 Request permission

Abstract:

We give a theory of fibered regular neighborhoods based on a remarkable property of simplicial fibered projections. All the usual properties of regular neighborhoods are retained. Using Millett’s fibered general position, together with the regular neighborhoods, we prove THEOREM. The simplicial space of codimension 4 PL embeddings of a complex into a PL manifold is locally contractible at each point of the space of topological embeddings.

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Homotopy groups of spaces of embeddings

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Seminar on combinatorial topology