Regular-closed, Urysohn-closed and completely Hausdorff-closed spaces.

Herrlich, H.

doi:10.1090/S0002-9939-1970-0268838-2

Regular-closed, Urysohn-closed and completely Hausdorff-closed spaces.

Author: H. Herrlich
Journal: Proc. Amer. Math. Soc. 26 (1970), 695-698
MSC: Primary 54.22
DOI: https://doi.org/10.1090/S0002-9939-1970-0268838-2
MathSciNet review: 0268838
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Abstract: Recently M. P. Berri, J. R. Porter, and R. M. Stephenson, Jr. have given a survey on $P$-closed and $P$-minimal spaces. In the present paper the first two problems of this survey will be solved: (1) The product of two Urysohn-closed spaces need not be Urysohn-closed. (2) A completely Hausdorff-closed regular space need not be regular-closed.

Manuel P. Berri, Minimal topological spaces, Trans. Amer. Math. Soc. 108 (1963), 97–105. MR 150724, DOI https://doi.org/10.1090/S0002-9947-1963-0150724-0

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---, Remarks on minimal topological spaces, Notices Amer. Math. Soc. 13 (1966), 256. Abstract #66T-163.