On locales whose countably compact sublocales have compact closure

Themba Dube

Mathematica Bohemica (2023)

  • Volume: 148, Issue: 4, page 481-500
  • ISSN: 0862-7959

Abstract

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Among completely regular locales, we characterize those that have the feature described in the title. They are, of course, localic analogues of what are called cl -isocompact spaces. They have been considered in T. Dube, I. Naidoo, C. N. Ncube (2014), so here we give new characterizations that do not appear in this reference.

How to cite

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Dube, Themba. "On locales whose countably compact sublocales have compact closure." Mathematica Bohemica 148.4 (2023): 481-500. <http://eudml.org/doc/299386>.

@article{Dube2023,
abstract = {Among completely regular locales, we characterize those that have the feature described in the title. They are, of course, localic analogues of what are called $\{\rm cl\}$-isocompact spaces. They have been considered in T. Dube, I. Naidoo, C. N. Ncube (2014), so here we give new characterizations that do not appear in this reference.},
author = {Dube, Themba},
journal = {Mathematica Bohemica},
keywords = {frame; locale; isocompact; $\{\rm cl\}$-isocompact; fully $\{\rm cl\}$-isocompact},
language = {eng},
number = {4},
pages = {481-500},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On locales whose countably compact sublocales have compact closure},
url = {http://eudml.org/doc/299386},
volume = {148},
year = {2023},
}

TY - JOUR
AU - Dube, Themba
TI - On locales whose countably compact sublocales have compact closure
JO - Mathematica Bohemica
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 148
IS - 4
SP - 481
EP - 500
AB - Among completely regular locales, we characterize those that have the feature described in the title. They are, of course, localic analogues of what are called ${\rm cl}$-isocompact spaces. They have been considered in T. Dube, I. Naidoo, C. N. Ncube (2014), so here we give new characterizations that do not appear in this reference.
LA - eng
KW - frame; locale; isocompact; ${\rm cl}$-isocompact; fully ${\rm cl}$-isocompact
UR - http://eudml.org/doc/299386
ER -

References

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