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http://dx.doi.org/10.4134/JKMS.2009.46.4.813

CONDITIONS IMPLYING CONTINUITY OF MAPS  

Baran, Mehmet (DEPARTMENT OF MATHEMATICS ERCIYES UNIVERSITY AND DEPARTMENT OF MATHEMATICS COLLEGE OF SCIENCE KING SAUD UNIVERSITY)
Kula, Muammer (DEPARTMENT OF MATHEMATICS ERCIYES UNIVERSITY)
Erciyes, Ayhan (DEPARTMENT OF MATHEMATICS ERCIYES UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.46, no.4, 2009 , pp. 813-826 More about this Journal
Abstract
In this paper, we generalize the notions of preserving and strongly preserving maps to arbitrary set based topological categories. Further, we obtain characterizations of each of these concepts as well as interprete analogues and generalizations of theorems of Gerlits at al [20] in the categories of filter and local filter convergence spaces.
Keywords
topological category; connected objects; locally connected objects; filter convergence space; compact objects; normal objects;
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