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On trivially semi-metrizable and D-completely regular mappings

F. Cammaroto;  G. Nordo;  B. A. Pasynkov — 2002

Bollettino dell'Unione Matematica Italiana

Trivially symmetrizable, trivially semi-metrizable and trivially D-completely regular mappings are defined. They are characterized as mappings parallel to symmetrizable, semi-metrizable and D-completely regular spaces correspondently. One shows that trivially D-completely regular mappings, i.e. submappings of fibrewise products of developable mappings coincide (up to homeomorphisms) with submappings of fibrewise products of semi-metrizable mappings.

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