English

A remark on $\beta$-locally closed sets

General Topology 2007-05-23 v1

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

Keywords

Cite

@article{arxiv.math/9810076,
  title  = {A remark on $\beta$-locally closed sets},
  author = {Julian Dontchev and Maximilian Ganster},
  journal= {arXiv preprint arXiv:math/9810076},
  year   = {2007}
}

Comments

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