Cell-like mappings between CS sets

Henderson, James P.

doi:10.1090/S0002-9939-1984-0728366-4

Cell-like mappings between CS sets
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Proc. Amer. Math. Soc. 90 (1984), 445-449 Request permission

Abstract:

A CS set is a certain type of stratified metric space. The structure of a CS set which is a generalized $n$-manifold is determined. A class of cell-like mappings between CS sets is defined, and it is shown that such a cell-like mapping with manifold image ${M^n}$, $n \ne 4$, is approximable by homeomorphisms.

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