RT - Journal Article
T1 - Generalized Kernels of Subsets through Ideals in Topological Spaces
JF - IJMSI
YR - 2024
JO - IJMSI
VO - 19
IS - 2
UR - http://ijmsi.ir/article-1-1820-en.html
SP - 207
EP - 221
K1 - Topological kernel
K1 - Ideals
K1 - Co-local function
K1 - $(tau^{star}
K1 - tau^{bullet})$-g-closed set
K1 - $mathcal{I}$-$lambda$-closed set.
AB - 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.
LA eng
UL http://ijmsi.ir/article-1-1820-en.html
M3
ER -