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A remark on β-locally closed sets

1998/10/12 by Julian Dontchev, Dontchev, Julian, Maximilian Ganster +1
Mathematics · #54H05 #FOS: Mathematics #General Topology (math.GN) #math.GN #msc:54H05

paper · pdf · doi:10.48550/arxiv.math/9810076

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

arxiv created 1998/10/12 · arxiv updated 2009/11/30

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 β-locally closed, and that every topological space is β-submaximal.

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