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Here we have studied the ideas of $g^*$-closed sets, $g\wedge_\tau $-sets and $\lambda^*$-closed sets and investigate some of their properties in the spaces of A. D. Alexandroff \cite{AD}. We have also studied some separation axioms like $ T_\frac{\omega}{4}, T_\frac{3\omega}{8}, T_\omega $ in Alexandroff spaces and also have introduced a new separation axiom namely $ T_\frac{5\omega}{8} $ axiom in this space.
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참고문헌 (11)
참고문헌 신청
Alexandroff, A. D. / 1940 / Additive set functions in abstract space / Mat. Sb. (N.S.) 8(50):307~348
A. Csaszar / 2002 / Generalized topology, generalized continuity / Acta Math. Hungar 96:351~357
A. Csaszar / 2005 / Generalized open sets in generalized topologies / Acta Math. Hungar 106(12):53~66
Das, P. / 2000 / Certain separation axioms in a space / Korean J. Math. Sciences 7:81~93
Das, P. / 2003 / g-closed sets and a new separation axioms in Alexan-droff spaces / Archivum Mathematicum(BRNO)Tomus 39:299~307
A. Csaszar / 2002 / Generalized topology, generalized continuity / Acta Math. Hungar 96:351~357
A. Csaszar / 2005 / Generalized open sets in generalized topologies / Acta Math. Hungar 106(12):53~66
Das, P. / 2000 / Certain separation axioms in a space / Korean J. Math. Sciences 7:81~93
Das, P. / 2003 / g-closed sets and a new separation axioms in Alexan-droff spaces / Archivum Mathematicum(BRNO)Tomus 39:299~307
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