Associated Regular Spaces
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1087-1092

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Let be any topological space. In this paper, we show that there is a unique regular topology on X which is coarser than such that if Y is any regular space, the continuous maps are the same for and . We shall call the regular topology associated with and the regular space associated with .
Thomas, J. Pelham. Associated Regular Spaces. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1087-1092. doi: 10.4153/CJM-1968-105-6
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[2] 2. Bourbaki, N., Eléments de mathématique, Livre III, Chapitre I, 3ème éd. (Hermann, Paris, 1961). Google Scholar

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