Topic
completely regular space.
topological space in which a point and a closed set are separable by a real-valued continuous function
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About completely regular space
In topology and related branches of mathematics, Tychonoff spaces and completely regular spaces are kinds of topological spaces. These conditions are examples of separation axioms. A Tychonoff space is any completely regular space that is also a Hausdorff space; there exist completely regular spaces that are not Tychonoff.
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