On semi θ-‘ axioms

Some separation axioms via modified θ-open sets

Semi-Contraction: Axioms and Construction

Semi-contraction is a withdrawal operation defined by Fermé in “On the logic of theory change: Contraction without recovery.” In this paper we propose: (1) an axiomatic characterization of semi-contraction; (2) an alternative construction for semi-contraction based on semi-saturatable sets, inspired by Levi’s saturatable sets; (3) a special kind of semi-contraction that satisfies the Lindström ...

Semi Separation Axioms and Hyperspaces

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-iden...

some separation axioms via modified θ-open sets

Semi-θ-Open Sets and New Classes of Maps