Normal spaces with prescribed Stone-Čech remainders

Authors:
Jack R. Porter and R. Grant Woods

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

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Abstract: It is shown that if is a locally compact Hausdorff space, then there is a normal space such that . 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.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1992-1070531-8

Keywords:
Stone-Čech compactification,
normal,
almost compact,
sequential,
locally compact

Article copyright:
© Copyright 1992
American Mathematical Society