A remark on $β$-locally closed sets

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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 $β$-locally closed, and that every topological space is $β$-submaximal.
Mem. Fac. Sci. Kochi Univ. Ser. A Math., 20 (1999), to appear

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