A GENERAL DECOMPOSITION THEOREM FOR CLOSED FUNCTIONS

TAKASHI NOIRI(1), VALERIU POPA(2)

1. 2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken, 869-5142 JAPAN,e-mail:t.noiri@nifty.com
2. Department of Mathematics and Informatics, “Vasile Alecsandri” University of Bacău, 600114 Bacău, ROMANIA, e-mail: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.

Keywords

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