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On closed images of the space of irrationals. (English) Zbl 0177.25501


Keywords:

topology
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[1] R. Engelking, Outline of general topology, Translated from the Polish by K. Sieklucki, North-Holland Publishing Co., Amsterdam; PWN-Polish Scientific Publishers, Warsaw; Interscience Publishers Division John Wiley & Sons, Inc., New York, 1968. · Zbl 0157.53001
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[4] Yukihiro Kodama, On \?\?\(^{n}\) metric spaces, Proc. Japan Acad. 33 (1957), 79 – 83. · Zbl 0078.36104
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[6] E. Michael and A. H. Stone, Quotients of the space of irrationals, Pacific J. Math. 28 (1969), 629 – 633. · Zbl 0172.24704
[7] Kiiti Morita, A condition for the metrizability of topological spaces and for \?-dimensionality, Sci. Rep. Tokyo Kyoiku Daigaku. Sect. A. 5 (1955), 33 – 36. · Zbl 0065.38101
[8] V. Ponomarev, Normal spaces as images of zero-dimensional ones, Soviet Math. Dokl. 1 (1960), 774 – 777. · Zbl 0100.19005
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