Generalized Kernels of Subsets through Ideals in Topological Spaces

Author(s):

José Sanabria* , Laura Maza , Ennis Rosas , Carlos Carpintero

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:19 Issue: 2, Nov 2024
Pages:
207 to 221
https://www.magiran.com/p2761619