On $\mathcal{I}^{\mathcal{K}}$ -Connectedness and compactness

Authors

  • Hassina Sabor Behmanush Ph.D. Scholar Department of Mathematics Faculty of Science, Mersin University

DOI:

https://doi.org/10.30495/jme.v19i0.3002

Keywords:

$\mathcal{I}^{\mathcal{K}}$-convergence, $\mathcal{I}^{\mathcal{K}}$-Sequential topology, $\mathcal{I}^{\mathcal{K}}-$compactness and connectedness.

Abstract

his work aims to provide clear definitions and explore various aspects associated with the concepts of $\mathcal{I}^{\mathcal{K}}$-compactness and $\mathcal{I}^{\mathcal{K}}$-connectedness in a topological space $(\Omega,\tau)$, which is a generalization of $\mathcal{I}$-connectedness and $\mathcal{I}$-compactness and $\mathcal{I}^*$-compactness.

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Published

2025-03-23

Issue

Section

Vol. 19, No. 2, (2025)