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

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  • Elmali, Ceren Sultan
  • Uğur, Tamer

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.

Suggested Citation

  • Elmali, Ceren Sultan & Uğur, Tamer, 2009. "Fan-Gottesman compactification of some specific spaces is Wallman-type compactification," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 17-19.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:1:p:17-19
    DOI: 10.1016/j.chaos.2008.10.019
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