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Pre regular pc-I-open sets in ideal topological spaces

Abstract

In this paper, we introduce and study the notion of pre regular pc-I-open set on an ideal topological space. Besides, we show some of its properties. On the other hand, we define new variants of continuity and contra- continuity, indeed we show some characterizations and we prove some results on pre regular pc-I-connected, pre regular pc-I-T1, pre regular pc-I-T2 and pre regular pc-I-normal spaces.

Keywords

Pre regular pc-I-open set, pre regular pc-I-continuous function, contra pre regular pc-I- continuous function, pre regular pc-I-connected space, pre regular pc-I-T1 space, pre regular pc-I-T2 space, pre regular pc-I-normal space

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