Semi p-correspondent topologies and nowhere p dense sets

Abstract

The objective of this paper is to introduce the concept of semi p-open sets. Also we introduce the idea of nowhere p-dense sets and obtained an equivalent condition for a set to be nowhere p-dense in terms of p-open sets. We proved that any semi p-open set can be written as disjoint union of a p-open set and a nowhere p-dense set. We studied various mappings involving semi p-open sets and p-open sets and analysed the behavior of p-open sets, semi p-open sets and nowhere p-dense sets under such mappings.