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.
@article{119085, author = {Bernhard Banaschewski and Jacob J. C Vermeulen}, title = {On the completeness of localic groups}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {40}, year = {1999}, pages = {293-307}, zbl = {0981.18010}, mrnumber = {1732650}, language = {en}, url = {http://dml.mathdoc.fr/item/119085} }
Banaschewski, Bernhard; Vermeulen, Jacob J. C. On the completeness of localic groups. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 293-307. http://gdmltest.u-ga.fr/item/119085/
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