A GENERAL DECOMPOSITION THEOREM FOR CLOSED FUNCTIONS

  • TAKASHI NOIRI
    2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken, 869-5142 JAPAN
    t.noiri@nifty.com
  • VALERIU POPA
    Department of Mathematics and Informatics, “Vasile Alecsandri” University of Bacău, 600114 Bacău, ROMANIA
    vpopa@ub.ro

Abstract

Quite recently, the present authors [16] have defined and investigated the notion of mg^*-closed sets as a modification of g-closed sets due to Levine [10]. In this paper, we introduce the notion of mg^*-closed function and obtain a general decomposition of closed functions in topological spaces.

Cuvinte cheie

m-structure m-space mg^*-closed g-closed mlc-set locally closed set decomposition of closed function