On Properties of Spaces Defined in Terms of Semi-Regular Sets |
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| Authors: | J Dontchev T Noiri |
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| Institution: | (1) Department of Mathematics, University of, Helsinki Pl 4, Yliopistonkatu 5, 00014 Helsinki, Finland;(2) Department of Mathematics, Yatsushiro College of Technology, 2627 Hirayama Shinmachi, Yatsushiro-shi, Kumamoto-ken, 866, Japan |
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| Abstract: | A set A of a topological space (X, ) is semi- -open if A is the union of semi-regular sets, i.e. sets which are both semi-open and semi-closed. Recently, several covering properties in terms of semi--open sets have been introduced. The aim of this paper is to study the relativity of those properties with respect to arbitrary subsets. We give new characterizations of s-regular, s-normal, semi-Hausdorff and
-spaces. |
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