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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.

On weak forms of preopen and preclosed functions

Miguel Caldas, Govindappa Navalagi (2004)

Archivum Mathematicum

In this paper we introduce two classes of functions called weakly preopen and weakly preclosed functions as generalization of weak openness and weak closedness due to [26] and [27] respectively. We obtain their characterizations, their basic properties and their relationshisps with other types of functions between topological spaces.

On weak-open π -images of metric spaces

Zhaowen Li (2006)

Czechoslovak Mathematical Journal

In this paper, we give some characterizations of metric spaces under weak-open π -mappings, which prove that a space is g -developable (or Cauchy) if and only if it is a weak-open π -image of a metric space.

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