A NOTE ON I−CLOSURE AND I−HYPERCONNECTED SPACES

Abstract

This article is a follow-up of the work done in the papers [10] and[56], where, along with various results on I−convergence, several propertiesof I−open sets and I−continuous functions were investigated. In this paper,we investigate some properties of I−boundary points of a set in a topologicalspace. We make some observations on I−convergence in the product space.We consider the ideas of an I−hyperconnected space and an I−submaximalspace and derive their basic properties.