Academia.eduAcademia.edu

A separation axiom between semi-T° and semi-T1

2013, Pro Mathematica

Abstract

The author introduces a new separation axiom and studies so me of their basic properties. The implication of these new separation axiom among themselves and with the well known axioms semi-T 2 semi-T 1 and semi-T 0 are obtained. l. Introduction 1 Semi-open sets where introduced and investigated by N. Levine [6] in 1963. In 1975, S.N. Maheshwari and R. Prasad [7] used semi-open sets to define and investigate three new separation axioms, called semi-T2o semi-T 1 and semi-T 0. Moreover, they have shown that the following implications hold.