Even Covering Properties and Somewhat Normal Spaces
Keyword(s):
AbstractA topological space X is said to be somewhat normal provided that for each open cover is a normal cover of X. We show that a completely regular somewhat normal space need not be normal, thereby answering a question of W. M. Fleischman. We note that a collectionwise normal somewhat normal space need not be almost 2-fully normal, as had previously been asserted, and that neither the perfect image nor the perfect preimage of a somewhat normal space has to be somewhat normal.
1979 ◽
Vol 31
(5)
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pp. 911-914
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1967 ◽
Vol 19
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pp. 474-487
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2021 ◽
Vol 78
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pp. 199-214
2021 ◽
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(ahead-of-print)
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1962 ◽
Vol 14
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pp. 461-466
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1986 ◽
Vol 38
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pp. 538-551
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2006 ◽
Vol 2006
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pp. 1-7
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1981 ◽
Vol 23
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pp. 1-4