TY - JOUR
T1 - Generalized Kernels of Subsets through Ideals in Topological Spaces
TT -
JF - IJMSI
JO - IJMSI
VL - 19
IS - 2
UR - http://ijmsi.ir/article-1-1820-en.html
Y1 - 2024
SP - 207
EP - 221
KW - Topological kernel
KW - Ideals
KW - Co-local function
KW - $(tau^{star}
KW - tau^{bullet})$-g-closed set
KW - $mathcal{I}$-$lambda$-closed set.
N2 - 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.
M3
ER -