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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Minimal topologies of para-$ H$-closed spaces


Author: Muhammad I. Zahid
Journal: Proc. Amer. Math. Soc. 88 (1983), 363-366
MSC: Primary 54D25; Secondary 54D18
MathSciNet review: 695276
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Abstract: A Hausdorff space is para-$ H$-closed if every open cover has a locally-finite open refinement (not necessarily covering the space) whose union is dense in the space. We prove that minimal locally-$ H$-closed, minimal locally-para-$ H$-closed and minimal para-$ H$-closed spaces are all minimal-Hausdorff. We also show that para-$ H$-closed-closed spaces are $ H$-closed.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0695276-X
PII: S 0002-9939(1983)0695276-X
Keywords: Para-$ H$-closed, $ H$-closed, feebly compact, minimal-Hausdorff, pHc-closed
Article copyright: © Copyright 1983 American Mathematical Society