Geodesic
The Metrizability of Spaces whose Diagonals have a Countable Base
Canadian mathematical bulletin, Tome 20 (1977) no. 4, pp. 513-514

Voir la notice de l'article provenant de la source Cambridge University Press

It is shown that the diagonal of X has a countable neighborhood base in X × X if and only if X is a metrizable space whose set of non-isolated points is compact.
DOI : 10.4153/CMB-1977-078-2
Mots-clés : 54E35, diagonal, neighborhood base, metrizability, compact 
Ginsburg, John. The Metrizability of Spaces whose Diagonals have a Countable Base. Canadian mathematical bulletin, Tome 20 (1977) no. 4, pp. 513-514. doi: 10.4153/CMB-1977-078-2
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[1] 1. Bing, R.H., Metrization of topological spaces, Canadian J. Math. 3 (1951), 175-186. Google Scholar

[2] 2. C?der, J.G., Some generalizations of metric spaces, Pacific J. Math. 11 (1961), 105-126. Google Scholar

[3] 3. Chaber, J., Conditions which imply compactness in countably compact spaces, to appear. Google Scholar

[4] 4. Simon, P., A note on cardinal invariants of square, Comment Math. Univ. Carolinae 14 (1973),205-213. Google Scholar

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