Characteristics of penta-open sets in penta topological spaces

The aim of the presented study is to introduce and verify two new spaces called \mathcal{P}\_ compactness and  \mathcal{P}\_connectedness using \mathcal{P}\_open sets and some of their properties. Moreover, we study the relationship between these spaces. Another purpose of this study is to examine a new form of separation axioms, by using \mathcal{P}\_open set namely T_{\mathcal{P}i}-spaces where (i=۰,۱,۲). The pertinence between them has been discussed and several features of these spaces are demonstrated as well.

کلیدواژه ها:

Penta Topological Space ، mathcal{P}_irresolute function ، mathcal{P}_compactness ، locally mathcal{P}_compact ، mathcal{P}_Connectedness ، mathcal{P}_separated ، strongly mathcal{P}_connected ، T_{mathcal{P}i}-space