omega-beta-SEPARATION AXIOMS

H. H. ALJARRAH(1), M. S. M. NOORANI(2) and T. NOIRI(3)

1, 2. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, MALAYSIA, e-mail: hiamaljarah@yahoo.com, msn@ukm.my
3. 2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken,869-5142 JAPAN e-mail: t.noiri@nifty.com

Abstract

The separation axioms are important and interesting concepts in topological spaces. In this paper, we introduce and investigate some weak separation axioms by using the notion of ωβ-open set.

Keywords

ωβ-T i space for i = 0 1 2 ωβ-Ri space for i = 0 1 ωβ-Di space for i = 0 1 2 ωβ-open set