Normal spaces with prescribed Stone-Čech remainders

Porter, Jack R.; Woods, R. Grant

doi:10.1090/S0002-9939-1992-1070531-8

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.

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Two generalizations of normality