Quasi Separation Axioms

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].

Quasi Separation Axioms

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].