A short note on separable frames
Commentationes Mathematicae Universitatis Carolinae (1996)
- Volume: 37, Issue: 2, page 375-377
- ISSN: 0010-2628
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topDube, Themba. "A short note on separable frames." Commentationes Mathematicae Universitatis Carolinae 37.2 (1996): 375-377. <http://eudml.org/doc/247873>.
@article{Dube1996,
abstract = {Following the introduction of separability in frames ([2]) we investigate further properties of this notion and establish some consequences of the Urysohn metrization theorem for frames that are frame counterparts of corresponding results in spaces. In particular we also show that regular subframes of compact metrizable frames are metrizable.},
author = {Dube, Themba},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {separable; metrizable; frame; separability; frames; metrization},
language = {eng},
number = {2},
pages = {375-377},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A short note on separable frames},
url = {http://eudml.org/doc/247873},
volume = {37},
year = {1996},
}
TY - JOUR
AU - Dube, Themba
TI - A short note on separable frames
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 2
SP - 375
EP - 377
AB - Following the introduction of separability in frames ([2]) we investigate further properties of this notion and establish some consequences of the Urysohn metrization theorem for frames that are frame counterparts of corresponding results in spaces. In particular we also show that regular subframes of compact metrizable frames are metrizable.
LA - eng
KW - separable; metrizable; frame; separability; frames; metrization
UR - http://eudml.org/doc/247873
ER -
References
top- Banaschewski B., Pultr A., Samuel compactification and completion of uniform frames, Math. Proc. Cambridge Phil. Soc. 108 (1990), 63-78. (1990) Zbl0733.54020MR1049760
- Dube T., Separability in locales, Quaest. Math. 17 (1994), 333-338. (1994) Zbl0816.54018MR1290672
- Johnstone P.T., Stone Spaces, Cambridge Univ. Press, Cambridge, 1982. Zbl0586.54001MR0698074
- Pultr A., Remarks on metrizable locales, Suppl. Rend. Circ. Mat. Palermo 6 (1984), 247-258. (1984) Zbl0565.54001MR0782722
- Sun S.-H., On paracompact locales and metric locales, Comment. Math. Univ. Carolinae 30 (1989), 101-107. (1989) Zbl0691.06003MR0995708
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