Property C, refinable maps and dimension raising maps
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- by Dennis J. Garity and Dale M. Rohm PDF
- Proc. Amer. Math. Soc. 98 (1986), 336-340 Request permission
Abstract:
We show that refinable maps defined on compacta preserve Property C. H. Kato has proved the analogous result for weakly infinite dimensional spaces. We also show that if $f$ is a map from a compact $C$ space $X$ onto a non $C$ space $Y$, then the set of points in $Y$ with an uncountable number of preimages is a space that does not have Property C.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 336-340
- MSC: Primary 54F45; Secondary 54C10
- DOI: https://doi.org/10.1090/S0002-9939-1986-0854043-7
- MathSciNet review: 854043