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Information Journal Paper

Title

Generalized Kernels of Subsets through Ideals in Topological Spaces

Pages

  207-221

Keywords

$(tau^{star} 
tau^{bullet})$-g-closed set 
$mathcal{I}$-$lambda$-closed set 

Abstract

 In this research work, we introduce a generalization of the notion of kernel of a set in topological spaces endowed with an ideal, which is a fundamental tool to obtain new modifications of open sets and closed sets. Using this generalized kernel, we define and characterize new low separation axioms in other contexts obtained from a topological space endowed with an ideal. Also, we study the invariance of these low separation axioms under certain types of continuity defined in this novel theoretical framework.

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