A remark on $\beta$-locally closed sets

Abstract

The aim of this note is to show that every subset of a given topological space is the intersection of a preopen and a preclosed set, therefore $\beta$-locally closed, and that every topological space is $\beta$-submaximal.

Mem. Fac. Sci. Kochi Univ. Ser. A Math., 20 (1999), to appear