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

Hassina Sabor Behmanush

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.

Keywords


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

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