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CONDITIONS IMPLYING CONTINUITY OF MAPS
Baran, Mehmet,Kula, Muammer,Erciyes, Ayhan Korean Mathematical Society 2009 대한수학회지 Vol.46 No.4
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.
Conditions implying continuity of maps
Mehmet Baran,Muammer Kula,Ayhan Erciyes 대한수학회 2009 대한수학회지 Vol.46 No.4
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. 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.