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http://dx.doi.org/10.14403/jcms.2012.25.3.401

A NEW TOPOLOGY FROM AN OLD ONE  

Darwesh, Halgwrd Mohammed (Department of Mathematics School of Science Faculty of Science and Education Science University of Sulaimani)
Publication Information
Journal of the Chungcheong Mathematical Society / v.25, no.3, 2012 , pp. 401-413 More about this Journal
Abstract
In the present paper we construct and introduce a new topology from an old one which are independent each of the other. The members of this topology are called ${\omega}_{\delta}$-open sets. We investigate some basic properties and their relationships with some other types of sets. Furthermore, a new characterization of regular and semi-regular spaces are obtained. Also, we introduce and study some new types of continuity, and we obtain decompositions of some types of continuity.
Keywords
${\theta}$-open set; ${\delta}$-open set; ${\omega}$-open set; ${\omega}_{\delta}$-open set; continuity; st; ${\theta}$-continuity; super-continuity; ${\omega}$-continuity; ${\omega}_{\delta}$-continuity;
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