A UNIFIED FORM OF SEPARATION AXIOMS IN IDEAL TOPOLOGICAL SPACES

TAKASHI NOIRI(1) and VALERIU POPA(2)

1. 2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken - 869-5142, JAPAN e-mail: t.noiri@nifty.com
2. “Vasile Alecsandri” University of Bacău 157 Calea Mărășești, Bacău 600115, ROMANIA e-mail : vpopa@ub.ro

Abstract

We introduce the notion of mIO(X)-structures determined by operators Int, Cl and Cl⋆ on an ideal topological space (X, τ, I). By using mIO(X)-structures, we obtain a unified form of some separation axioms containing semi-I-Ti, β-I-Ti, b-I-Ti (i = 0, 1, 2) and other.

Keywords

m-space ideal topological space m-I-Ti (i= 0 1 2) m-D-set m-I-Di (i = 0 1 2).
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