International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 1, Pages 47-59
Non archimedean metric induced fuzzy uniform spaces
Wiskundige Analyse, University of Antwerp, R.U.C.A., Groenenborgerlaan 171, Antwerpen 2020, Belgium
Received 7 April 1988
Copyright © 1989 R. Lowen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
It is shown that the category of non-Archimedean metric spaces with 1-Lipschitz
maps can be embedded as a coreflective non-bireflective subcategory in the category
of fuzzy uniform spaces. Consequential characterizations of topological and uniform
properties are derived.