More on \(P\)-closed spaces

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Terrence A. Edwards
James E. Joseph
Bhamini M.P. Nayar


In [1] the following problems were listed as open: Problem 14. Is a regular space in which every closed subset is regular-closed compact? Problem 15. Is a Urysohn-space in which every closed subset is Urysohnclosed compact? To answer the question for Hausdorff-closed spaces in the affirmative, M. H. Stone [12] used Boolean rings and M. Katetov [10] used topological methods. In this article, all three questions are ˇ answered affirmatively using filters.


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Edwards, T. A., Joseph, J. E., & Nayar, B. M. . (2022). More on \(P\)-closed spaces. Journal of Advanced Studies in Topology, 10(2), 8–10. Retrieved from
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