rc-continuous functions and functions with rc-strongly closed graph

Bassam Al-Nashef

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-9

Abstract:

The family of regular closed subsets of a topological space is used to introduce two concepts concerning a function f from a space X to a space Y . The first of them is the notion of f being rc-continuous. One of the established results states that a space Y is extremally disconnected if and only if each continuous function from a space X to Y is rc-continuous. The second concept studied is the notion of a function f having an rc-strongly closed graph. Also one of the established results characterizes rc-compact spaces ( ≡ S -closed spaces) in terms of functions that possess rc-strongly closed graph.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:145246

DOI: 10.1155/S0161171203203410

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