Locally closed sets and LC -continuous functions

M. Ganster and I. L. Reilly

International Journal of Mathematics and Mathematical Sciences, 1989, vol. 12, 1-8

Abstract:

In this paper we introduce and study three different notions of generalized continuity, namely LC-irresoluteness, LC-continuity and sub-LC-continuity. All three notions are defined by using the concept of a locally closed set. A subset S of a topological space X is locally closed if it is the intersection of an open and a closed set. We discuss some properties of these functions and show that a function between topological spaces is continuous if and only if it is sub-LC-continuous and nearly continuous in the sense of Ptak. Several examples are provided to illustrate the behavior of these new classes of functions.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:758376

DOI: 10.1155/S0161171289000505

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