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SOOCHOW JOURNAL OF MATHEMATICS

Volume 33, No. 4, pp. 719-727, October 2007




ON NEW SEPARATION AXIOMS VIA $ \lambda$-OPEN SETS II


BY


N. RAJESH




Abstract. In this paper, we introduce three new classes of topological spaces called $ \lambda$-$ R_0$, $ \lambda$-$ R_1$ and weakly $ \lambda$-$ R_0$ spaces in terms of the concept of $ \lambda$-open sets and investigate some of their fundamental properties.

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Received May 17, 2006; revised April 3, 2007; June 27, 2007.

AMS Subject Classification. 54A05, 54D10.

Key words. topological spaces, $ \lambda$-$ R_0$ spaces, $ \lambda$-$ R_1$ spaces, weakly $ \lambda$-$ R_0$ spaces, $ \lambda$-open sets, $ \lambda$-closure.