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

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Rc-continuous Functions and Functions with Rc-strongly Closed Graph

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...

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ژورنال

عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences

سال: 2003

ISSN: 0161-1712,1687-0425

DOI: 10.1155/s0161171203203410