Quasi Separation Axioms

Authors : Mohammad S. Sarsak

Pages : 25-31

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Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :In [5], Maheshwari et al. introduced and studied some new separation axioms, namely, quasi semi Ti axioms where i \in {0, 1, 2}, the quasi semi T1/2 axiom was then introduced and investigated by Gyu-Ihn et al. in [2]. In the present paper we introduce and study quasi Ti axioms, i \in {0, 1 / 2, 1, 2} as a special variety of quasi semi Ti axioms, the class of quasi T1/2 (respectively, quasi T1) bitopological spaces is placed between quasi T0 (respectively, quasi T1/2) bitopological spaces and quasi T1 (respectively, quasi T2) bitopological spaces. Among several counter examples we introduce an example of a bitopological space which is quasi T0 that fails to be quasi semi T1/2, thus answering a question raised in [2].
Keywords : bitopological spaces, quasi open sets, quasi semi-open sets, quasi Ti, quasi semi Ti, i in {0, 1 / 2, 1, 2}