A.completely regular space is
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Tychonoff space
A space X is completely regular if and only if it has the initial topology induced by C(X) or Cb(X). A space X is completely regular if and only if every closed set can be written as the intersection of a family of zero sets in X (i.e. the zero sets form a basis for the closed sets of X).
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A topological space is said to be a completely regular space.
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