نشریه علوم ریاضی و انفورماتیک

Mendeley  

Zotero  

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-fa.html

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.