Displaying similar documents to “Expansion of α -open sets and decomposition of α -continuous mappings.”

On multiplication in spaces of continuous functions

Marek Balcerzak, Aleksander Maliszewski (2011)

Colloquium Mathematicae

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We introduce and examine the notion of dense weak openness. In particular we show that multiplication in C(X) is densely weakly open whenever X is an interval in ℝ.

On weak forms of preopen and preclosed functions

Miguel Caldas, Govindappa Navalagi (2004)

Archivum Mathematicum

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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.