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Compactifications with almost locally compact outgrowth

Author: Marlon C. Rayburn
Journal: Proc. Amer. Math. Soc. 106 (1989), 223-229
MSC: Primary 54D40; Secondary 54C10, 54D35
MathSciNet review: 961408
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Abstract: An extension of a result of Hatzenbuhler and Mattson gives a sufficient condition that the locally compact part of an arbitrary Tichonov space has a compactification with a countably infinite outgrowth. This leads to a characterization for almost locally compact outgrowths, and some sufficient conditions for their existence. Examples are given showing the conditions are not necessary.

References [Enhancements On Off] (What's this?)

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Keywords: Compactification, countable outgrowth, almost locally compact, pseudoopen map, perfect map
Article copyright: © Copyright 1989 American Mathematical Society

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