Abstract

GRANADOS, Carlos. Pre Regular pc-I-Open Sets in Ideal Topological Spaces. Ciencia en Desarrollo [online]. 2021, vol.12, n.1, pp.43-53.  Epub Dec 13, 2021. ISSN 0121-7488.  https://doi.org/10.19053/01217488.v12.n1.2021.11283.

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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