Note on dense covers in the category of locales
Commentationes Mathematicae Universitatis Carolinae (1994)
- Volume: 35, Issue: 3, page 549-552
- ISSN: 0010-2628
Access Full Article
top
Abstract
topHow to cite
topPaseka, Jan. "Note on dense covers in the category of locales." Commentationes Mathematicae Universitatis Carolinae 35.3 (1994): 549-552. <http://eudml.org/doc/247610>.
@article{Paseka1994,
abstract = {In this note we are going to study dense covers in the category of locales. We shall show that any product of finitely regular locales with some dense covering property has this property as well.},
author = {Paseka, Jan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {frame; locale; topological space; cover; dense cover; -locale; finitely regular locales; dense cover},
language = {eng},
number = {3},
pages = {549-552},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Note on dense covers in the category of locales},
url = {http://eudml.org/doc/247610},
volume = {35},
year = {1994},
}
TY - JOUR
AU - Paseka, Jan
TI - Note on dense covers in the category of locales
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 3
SP - 549
EP - 552
AB - In this note we are going to study dense covers in the category of locales. We shall show that any product of finitely regular locales with some dense covering property has this property as well.
LA - eng
KW - frame; locale; topological space; cover; dense cover; -locale; finitely regular locales; dense cover
UR - http://eudml.org/doc/247610
ER -
References
top- Dowker C.H., Strauss D., Sums in the category of frames, Houston J. Math. 3 (1976), 17-32. (1976) Zbl0332.54005MR0442900
- Engelking R., General Topology, Polish Scientific Publishers, Warsaw, 1977. Zbl0684.54001MR0500780
- Johnstone P.T., Stone Spaces, Cambridge Univ. Press, Cambridge, 1982. Zbl0586.54001MR0698074
- Kovár M., Finitely Regular and Finitely Normal Topological Spaces (in Czech), Masaryk University, Brno, 1989.
- Kříž I., A constructive proof of the Tychonoff's theorem for locales, Comment. Math. Univ. Carolinae 26 (1985), 619-630. (1985) Zbl0661.54027MR0817832
- Kunen K., Vaughan J.E., Handbook of Set-Theoretic Topology, North Holland, Amsterdam, 1984. Zbl0674.54001MR0776619
- Madden J., Vermeer J., Lindelöf locales and realcompactness, Math. Proc. Cambridge Philos. Soc. 99 (1986), 473-480. (1986) Zbl0603.54021MR0830360
- Paseka J., Products in the category of locales: which properties are preserved?, Discrete Mathematics 108 (1992), 63-73. (1992) Zbl0759.18005MR1189830
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.