Local contractibility, cell-like maps, and dimension
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- by Jan van Mill PDF
- Proc. Amer. Math. Soc. 98 (1986), 534-536 Request permission
Abstract:
We consider the existence of cell-like maps $f:$: ${I^n} \to X$ such that no nonempty open subset of $X$ is contractible in $X$. From the Taylor Example, it is easy to construct such a map for $n = \infty$. We show that there exists such a map for some finite $n$ if (and only if) there exists a dimension raising cell-like map of a compactum.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 534-536
- MSC: Primary 55M10; Secondary 54C35
- DOI: https://doi.org/10.1090/S0002-9939-1986-0857957-7
- MathSciNet review: 857957