Geodesic
Characterization of ultra separation axioms via $(1,2)\alpha$-kernel
Lobachevskii journal of mathematics, Tome 25 (2007), pp. 217-229

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In this paper, we introduce the concept of weakly-ultra-separation of two sets in a bitopological space using $(1,2)\alpha$-open sets. The $(1,2)\alpha$-closure and the $(1,2)\alpha$-kernel are defined in terms of this weakly-ultra-separation. We also investigate the properties of some weak separation axioms like ultra-$T_0$, ultra-$T_1$, and ultra-$R_0$.
Keywords: $(1,2)\alpha$-kernel and weakly-ultra-separated. 
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     title = {Characterization of ultra separation axioms via $(1,2)\alpha$-kernel},
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     url = {http://geodesic.mathdoc.fr/item/LJM_2007_25_a6/}
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R. RajaRajeswari; M. L. Thivagar; S. A. Ponmani. Characterization of ultra separation axioms via $(1,2)\alpha$-kernel. Lobachevskii journal of mathematics, Tome 25 (2007), pp. 217-229. http://geodesic.mathdoc.fr/item/LJM_2007_25_a6/