On the completeness of localic groups
Bernhard Banaschewski; Jacob J. C Vermeulen
Commentationes Mathematicae Universitatis Carolinae (1999)
- Volume: 40, Issue: 2, page 293-307
- ISSN: 0010-2628
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topBanaschewski, Bernhard, and Vermeulen, Jacob J. C. "On the completeness of localic groups." Commentationes Mathematicae Universitatis Carolinae 40.2 (1999): 293-307. <http://eudml.org/doc/248420>.
@article{Banaschewski1999,
abstract = {The main purpose of this paper is to show that any localic group is complete in its two-sided uniformity, settling a problem open since work began in this area a decade ago. In addition, a number of other results are established, providing in particular a new functor from topological to localic groups and an alternative characterization of $LT$-groups.},
author = {Banaschewski, Bernhard, Vermeulen, Jacob J. C},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {localic group; Closed Subgroup Theorem for localic groups; the uniformities of a localic group; two-sidedly complete topological groups; $LT$-groups; localic group; closed subgroup theorem for localic groups; uniformities of localic group; two-sidedly complete topological groups; -groups; frame homomorphisms},
language = {eng},
number = {2},
pages = {293-307},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the completeness of localic groups},
url = {http://eudml.org/doc/248420},
volume = {40},
year = {1999},
}
TY - JOUR
AU - Banaschewski, Bernhard
AU - Vermeulen, Jacob J. C
TI - On the completeness of localic groups
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1999
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 40
IS - 2
SP - 293
EP - 307
AB - The main purpose of this paper is to show that any localic group is complete in its two-sided uniformity, settling a problem open since work began in this area a decade ago. In addition, a number of other results are established, providing in particular a new functor from topological to localic groups and an alternative characterization of $LT$-groups.
LA - eng
KW - localic group; Closed Subgroup Theorem for localic groups; the uniformities of a localic group; two-sidedly complete topological groups; $LT$-groups; localic group; closed subgroup theorem for localic groups; uniformities of localic group; two-sidedly complete topological groups; -groups; frame homomorphisms
UR - http://eudml.org/doc/248420
ER -
References
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