Nowhere p - Dense Sets and Semi p-correspondent Topologies

Abstract

The goal of this study is to present the concept of semi p-open sets. We further present the idea of nowhere p-dense sets and derive an equivalent condition in terms of p-open sets for a set to be nowhere p-dense. Any semi p-open set can be expressed as a disjoint union of a p-open set and a nowhere p-dense set, according to our results. We investigated the behaviour of p-open sets, semi p-open sets, and nowhere p-dense sets under several mappings involving semi p-open sets and p-open sets.