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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2009; 46(4): 813-826

Printed July 1, 2009

https://doi.org/10.4134/JKMS.2009.46.4.813

Copyright © The Korean Mathematical Society.

Conditions implying continuity of maps

Mehmet Baran, Muammer Kula, and Ayhan Erc\.{i}yes

Erciyes University

Abstract

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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

MSC numbers: 54B30, 54D10, 54A05, 54A20, 18B99, 18D15

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