Volume 19, Issue 2 (9-2024)
IJMSI 2024, 19(2): 207-221 |
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Sanabria J, Maza L, Rosas E, Carpintero C. Generalized Kernels of Subsets through Ideals in Topological Spaces. IJMSI 2024; 19 (2) :207-221
URL: http://ijmsi.ir/article-1-1820-en.html
URL: http://ijmsi.ir/article-1-1820-en.html
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.
Keywords: Topological kernel, Ideals, Co-local function, $(tau^{star}, tau^{bullet})$-g-closed set, $mathcal{I}$-$lambda$-closed set.
Type of Study: Research paper |
Subject:
General
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