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Displaying similar documents to “On θ -continuity and strong θ -continuity.”

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.

A topology over a set of systems

Gaspar Martínez Mora (1996)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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The systems of an arbitrary number of linear inequalities OVer a real locally convex space have been classified in three classes, namely: consistent, weakly inconsistent and strongly inconsistent, i.e. having ordinary solutions, weak solutions or notsolutions respectively. In this paper, the third type is divided in two classes: strict-strongly and quasi-strongly inconsistent and is given a topology over a quotient space of the set of systems over finite- dimensional spaces, that yields...