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Hereditarily closure-preserving collections and metrization. (English) Zbl 0307.54030

MSC:
54E35 Metric spaces, metrizability
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
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[1] Jack G. Ceder, Some generalizations of metric spaces, Pacific J. Math. 11 (1961), 105 – 125. · Zbl 0103.39101
[2] I. Juhász, Cardinal functions in topology, Mathematisch Centrum, Amsterdam, 1971. In collaboration with A. Verbeek and N. S. Kroonenberg; Mathematical Centre Tracts, No. 34. · Zbl 0224.54004
[3] John L. Kelley, General topology, D. Van Nostrand Company, Inc., Toronto-New York-London, 1955. · Zbl 0066.16604
[4] Jun-iti Nagata, On a necessary and sufficient condition of metrizability, J. Inst. Polytech. Osaka City Univ. Ser. A. Math. 1 (1950), 93 – 100. · Zbl 0041.09801
[5] Yu. Smirnov, A necessary and sufficient condition for metrizability of a topological space, Doklady Akad. Nauk SSSR (N.S.) 77 (1951), 197 – 200 (Russian). · Zbl 0042.16801
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