A UNIFIED FORM OF SEPARATION AXIOMS IN IDEAL TOPOLOGICAL SPACES

  • TAKASHI NOIRI
    2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken - 869-5142, JAPAN
    t.noiri@nifty.com
  • VALERIU POPA
    “Vasile Alecsandri” University of Bacău 157 Calea Mărășești, Bacău 600115, ROMANIA
    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.

Cuvinte cheie

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