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On the completeness of localic groups

Bernhard BanaschewskiJacob J. C Vermeulen — 1999

Commentationes Mathematicae Universitatis Carolinae

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 L T -groups.

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