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Lobachevskii Journal of Mathematics, 2007, Volume 25, Pages 217–229 (Mi ljm7)  

Characterization of ultra separation axioms via $(1,2)\alpha$-kernel

R. RajaRajeswaria, M. L. Thivagarb, S. A. Ponmanic

a Sri Parasakthi College for Women
b Arul Anandar College
c Jayaraj Annapackiam College for Women
References:
Abstract: 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.
Submitted by: M. A. Malakhaltsev
Received: 10.10.2006
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Language: English
Citation: R. RajaRajeswari, M. L. Thivagar, S. A. Ponmani, “Characterization of ultra separation axioms via $(1,2)\alpha$-kernel”, Lobachevskii J. Math., 25 (2007), 217–229
Citation in format AMSBIB
\Bibitem{RajThiPon07}
\by R.~RajaRajeswari, M.~L.~Thivagar, S.~A.~Ponmani
\paper Characterization of ultra separation axioms via $(1,2)\alpha$-kernel
\jour Lobachevskii J. Math.
\yr 2007
\vol 25
\pages 217--229
\mathnet{http://mi.mathnet.ru/ljm7}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2312352}
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