Proper mappings and the minimum dimension of a compactification of a space
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- by James Keesling PDF
- Proc. Amer. Math. Soc. 30 (1971), 593-598 Request permission
Abstract:
In this paper it is shown that for each positive integer n there is a locally compact Hausdorff space X having the property that $\dim X = n$ and in addition having the property that if $f(X) = Y$ is a proper mapping, then $\dim Y \geqq n$. Using this result it is shown that there is a space Y having the property that $\min \dim Y = n$ with a point $p \in Y$ with $\min \dim Y - \{ p\} = 0$.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 30 (1971), 593-598
- MSC: Primary 54.70
- DOI: https://doi.org/10.1090/S0002-9939-1971-0288740-0
- MathSciNet review: 0288740