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Topological completeness of first countable Hausdorff spaces. I. (English) Zbl 0213.49206


MSC:

54E50 Complete metric spaces
54E20 Stratifiable spaces, cosmic spaces, etc.
54D10 Lower separation axioms (\(T_0\)–\(T_3\), etc.)
54D15 Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.)
54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets)
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
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