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On functions between generalized topological spaces - MaRDI portal

On functions between generalized topological spaces (Q2871999)

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scientific article; zbMATH DE number 6244957
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English
On functions between generalized topological spaces
scientific article; zbMATH DE number 6244957

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    On functions between generalized topological spaces (English)
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    14 January 2014
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    generalized topology
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    generalized continuity
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    change of generalized topology
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    generalized connectedness
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    From the authors' introduction: ``This paper is concerned with the adaptation of the change of topology approach from topological topics to aspects of the theory of generalized topological spaces. The authors show that ``change of generalized topology'' exhibits some characteristics analogous to change of topology in the topological category. Now using the notion of a generalized topology introduced by Császár, the authors give the necessary preliminaries and then use some variations of generalized continuity between generalized topological spaces, in order to illustrate the ``change of generalized topology'' procedure in its most general form. Finally, they consider the preservation of generalized connectedness properties under various classes of functions between generalized topological spaces.''
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