arXiv subjects
Publications and source records attributed to Jagannath Pal.
Here we have investigated some aspects of $sλ$-closed sets on separation axioms including $s T_{2\frac{1}{2}} $ and $s T_{3\frac{1}{2}} $ axioms and on compactness in generalized topological spaces
Here we have introduced and studied the idea of $ Ig^*$-closed set with respect to an ideal and investigated some of its properties in Alexandroff spaces. We have also introduced $ Ig^*$-$T_0 $ axiom, $ Ig^*$-$T_1$ axiom, $ Ig^*$-$T_ω$ axiom and explored a relation among them
Here we have introduced the ideas of $ (j-i)sg_κ^*$-closed sets and a semi generalized closed set in a bispace; $ i,j=1,2; i\not=j $ and then have studied on pairwise semi $T_0 $-axiom, pairwise semi $T_1 $-axiom and pairwise semi $T_ω$-axiom. We have investigated some of their topological properties and also established a relation among these axioms under some additional conditions.
Here we have studied the ideas of $ sg_λ,sλ$ and $ sβ_λ$-closed sets and investigated some of their properties in generalized topological spaces. We have also studied some low separation axioms namely $ sλT_\frac{1}{4} $, $ sλT_\frac{3}{8} $, $ sλT_\frac{1}{2} $ axioms and their mutual relations with $ sλT_0 $ and $sλT_1 $ axioms.
Here we have studied on the ideas of $g_{μ_i}$ and $λ_{μ_i}$-closed sets with respect to ${μ_j}(i,j=1,2,i\not=j)$ and pairwise $ λ$-closed sets in a generalized bitopological space $ (X,μ_1, μ_2) $. We have also investigated the properties on some new separation axioms namely pairwise $ T_\frac{1}{4}$, pairwise $T_\frac{3}{8}$, pairwise $ T_\frac{5}{8} $ and have established their mutual relations with pairwise $ T_0 $, pairwise $ T_\frac{1}{2} $ and pairwise $ T_1 $. We have also shown that under certain conditions these axioms are equivalent.
Here we have studied the idea of semi Lamda*-closed sets and investigate some of their properties in spaces considered by A. D. Alexandroff [1]. We have introduced some new separation axioms namely semi-Tw/4, , semi-T3w/8, semi-T5w/8, and their inter-relation with semi-T0 and semi-T1. We have shown that under certain conditions these axioms are equivalent.
Here we have studied the ideas of g*-closed sets, g^tou -sets and Lamda*-closed sets and investigate some of their properties in the spaces of A. D. Alexandroff [1]. We have also studied few separation axioms like T-omega/4,T-3omega/8, T-omega in Alexandroff spaces and have introduced a new separation axiom namely T-5omega/8 axiom in this space.