A Note On ℐ-Closure and ℐ -Hyperconnected Spaces

Ram, Madhu

doi:10.2478/tmmp-2025-0015

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 properties of 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 topological space. We make some observations on ℐ-convergence in the product space. We consider the ideas of an ℐ-hyperconnected space and an ℐ-submaximal space and derive their basic properties.

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A Note On ℐ-Closure and ℐ -Hyperconnected Spaces

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