Local contractibility, cell-like maps, and dimension

Author:
Jan van Mill

Journal:
Proc. Amer. Math. Soc. **98** (1986), 534-536

MSC:
Primary 55M10; Secondary 54C35

MathSciNet review:
857957

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Abstract: We consider the existence of cell-like maps : such that no nonempty open subset of is contractible in . From the Taylor Example, it is easy to construct such a map for . We show that there exists such a map for some finite if (and only if) there exists a dimension raising cell-like map of a compactum.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1986-0857957-7

Keywords:
Cell-like map,
dimension,
local contractibility

Article copyright:
© Copyright 1986
American Mathematical Society