A NEW TOPOLOGY FROM AN OLD ONE

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 ωδ-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.

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