A remark on $β$-locally closed sets

Details A remark on $β$-locally closed sets A remark on $β$-locally closed sets

1998-10-12

arxiv.org/abs/math/9810076v1

Mathematics

General Topology

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

Scientific paper

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.

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