Fan-Gottesman compactification of some specific spaces is Wallman-type compactification

Ceren Sultan Elmali and Tamer Uğur

Chaos, Solitons & Fractals, 2009, vol. 42, issue 1, 17-19

Abstract: It is known that some compactification methods have similar properties when studied spaces are local compact hausdorff. But this compactification methods (one-point compactification, Stone-Cech compactification, Wallman compactification, Fan-Gottesman compactification, Freudenthal compactification, etc.) have very few similarity in some specific spaces. In this paper especially it is investigated relation between Fan-Gottesman and Wallman compactifications and it is shown that Fan-Gottesman compactification of some interesting and specific spaces such as normal A2 and T4 is Wallman-type compactification.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:1:p:17-19

DOI: 10.1016/j.chaos.2008.10.019

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