Normal spaces with prescribed Stone-Čech remainders
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- by Jack R. Porter and R. Grant Woods PDF
- Proc. Amer. Math. Soc. 114 (1992), 857-863 Request permission
Abstract:
It is shown that if $X$ is a locally compact Hausdorff space, then there is a normal space $Y$ such that $\beta Y\backslash Y \cong X$. Examples are given of a countable nonsequential space, and a sequential nonlocally compact space, each of which is the Stone-Čech remainder of a normal space. A method of constructing normal almost compact spaces is presented.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 857-863
- MSC: Primary 54D40; Secondary 54D15, 54D35, 54D45, 54D55
- DOI: https://doi.org/10.1090/S0002-9939-1992-1070531-8
- MathSciNet review: 1070531