Proper hereditary shape equivalences preserve small weak infinite-dimensionality
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- by Richard P. Millspaugh PDF
- Proc. Amer. Math. Soc. 110 (1990), 1055-1061 Request permission
Abstract:
A space is said to be small weakly infinite dimensional if it has a basis $B$ such that the collection of finite unions of elements of $B$ is inessential. A characterization of small weak infinite dimensionality is given for locally compact spaces. This characterization is then used to prove that if $f:X \to Y$ is a proper hereditary shape equivalence from a metric space $X$ which is small weakly infinite dimensional onto a locally compact metric space $Y$, then $Y$ is small weakly infinite dimensional.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 110 (1990), 1055-1061
- MSC: Primary 54F45; Secondary 54C10
- DOI: https://doi.org/10.1090/S0002-9939-1990-1037215-1
- MathSciNet review: 1037215