ON PAIRWISE -SEMI-GENERALIZED CLOSED SETS

F. H. Khedr (Egypt) and H. S. Al-Saadi (Saudi Arabia)

Received September 23, 2007

Abstract

As a continuation of the study of generalized closed sets in bitopological spaces, in this paper, we introduce and study the class of -semi-generalized closed sets which properly placed between the classes of semi-generalized closed sets and semi -closed sets. A fundamental properties of pairwise -semi-generalized closed sets obtained by utilizing semi -closure operator. We shall extend the class of pairwise generalized sL-sets to the class of pairwise -generalized sL-sets.

Keywords and phrases: ij-semi -open set, ij- -semi-generalized closed set, ij-semi ‑closure, -set, ij- -semi-generalized function.