Semi Separation Axioms and Hyperspaces
نویسنده
چکیده
In this paper examples are given to show that s-regular and s-normal are independent; that s-normal, and s-regular are not semi topological properties; and that (S(X),E(X)) need not be I even if (X,T) is compact, s-normal, s-regular, semi-T2, and T0. Also, it is shown that for each space (X,T), (S(X) ,E(X)), (S(XO) ,E(Xo)), and (S(Xs0) ,E(Xs0)) are homeomorphic, where (X0, Q(X0)) is the T0-identification space of (X,T) and (Xs0,Q(Xs0)) is the semi-T0-identification space of (X,T), and that if (X,T) is s-regular and , then (S(X), E(X)) is 2. KEF WORDS AND PHRASES. Smi open sets, smi topological propZies, and 1980 MATHEMATICS SUBJECT CLASSIFICATION CODES. 54AI0, 54B20.
منابع مشابه
Higher Separation Axioms via Semi*-open sets
The purpose of this paper is to introduce new separation axioms semi*-regular, semi*-normal, s*regular, s**-normal using semi*-open sets and investigate their properties. We also study the relationships among themselves and with known axioms regular, normal, semi-regular and semi-normal. Mathematics Subject Classification 2010: 54D10, 54D15
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