Regular Quotients of Metric Spaces
Canadian mathematical bulletin, Tome 18 (1975) no. 4, pp. 611-613
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In this note we consider the class of topological spaces whose every Hausdorff quotient is regular (or equivalently, normal). Sufficient conditions in order that a space belongs to this class have appeared in papers by Morita [3], and more recently by MacDonald and Willard [2]. In both cases, the authors impose conditions implying paracompactness. We shall derive additional sufficient conditions here which show that paracompactness is not necessary in general.
Warrack, Brian. Regular Quotients of Metric Spaces. Canadian mathematical bulletin, Tome 18 (1975) no. 4, pp. 611-613. doi: 10.4153/CMB-1975-110-2
@article{10_4153_CMB_1975_110_2,
author = {Warrack, Brian},
title = {Regular {Quotients} of {Metric} {Spaces}},
journal = {Canadian mathematical bulletin},
pages = {611--613},
year = {1975},
volume = {18},
number = {4},
doi = {10.4153/CMB-1975-110-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-110-2/}
}
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[3] 3. Morita, K., On decomposition spaces of locally compact spaces, Proc. Japan Acad. 32 (1956), 544–548. Google Scholar
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