Geodesic
Even Covering Properties and Somewhat Normal Spaces
Canadian mathematical bulletin, Tome 29 (1986) no. 2, pp. 154-159

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DOI

A 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.
DOI : 10.4153/CMB-1986-026-5
Mots-clés : Primary, 54D18, Secondary, 54D15 
Künzi, Hans-Peter; Fletcher, Peter. Even Covering Properties and Somewhat Normal Spaces. Canadian mathematical bulletin, Tome 29 (1986) no. 2, pp. 154-159. doi: 10.4153/CMB-1986-026-5
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     title = {Even {Covering} {Properties} and {Somewhat} {Normal} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {154--159},
     year = {1986},
     volume = {29},
     number = {2},
     doi = {10.4153/CMB-1986-026-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-026-5/}
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