Compactifications and F-Spectral Spaces

Authors

  • Ceren Sultan Elmali
  • Tamer Ugur

Keywords:

net, open filter, ultrafilter, normal base, Fan-Gottesman compactification, Wallman compactification, H-spectral space, F-spectral space.

Abstract

If X is T3, it is showed that the Fan-Gottesman compactification of X can be embedded into compactification (X*, k) of X obtaining by a combined approach of nets and open filters. By F-spectral, we mean a topological space X such that the Fan-Gottesman compactification of X is a spectral space. We give necessary and sufficient conditions on X in order to get F-spectral.

Key words and phrases. net, open filter, ultrafilter, normal base, Fan-Gottesman compactification, Wallman compactification, H-spectral space, F-spectral space.

2000 Mathematics Subject Classification. 54D35, 54D70

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Published

2025-05-18

How to Cite

Ceren Sultan Elmali, & Tamer Ugur. (2025). Compactifications and F-Spectral Spaces. Jordan Journal of Mathematics and Statistics, 7(1), 15–28. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1090

Issue

Vol. 7 No. 1 (2014)

Section

Articles