A Hausdorff (Urysohn) [Regular] Space In Which Closed Sets are Hausdorff-Closed (Urysohn-Closed) [Rgular-Closed] Is Compact

  • James E. Joseph Howard University
  • Bhamini M.P. Nayar Morgan Sate University

Abstract

In [2] the following questions were stated as open problems: (1) Is a Urysohn-space in which every closed subset is Urysohn closed compact? and (2) is a regular space in which every closed subset is regular-closed compact?  In this article both of these questions are answered in the affirmative.

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Published
2013-11-09
How to Cite
Joseph, J. E., & Nayar, B. M. (2013). A Hausdorff (Urysohn) [Regular] Space In Which Closed Sets are Hausdorff-Closed (Urysohn-Closed) [Rgular-Closed] Is Compact. Journal of Advanced Studies in Topology, 5(1), 6-8. https://doi.org/10.20454/jast.2014.692
Section
Original Articles

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