International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 1, Pages 47-59
doi:10.1155/S0161171289000062
Non Archimedean metric induced fuzzy uniform spaces
R. Lowen
, A.K. Srivastava
and P. Wuyts
Wiskundige Analyse, University of Antwerp, R.U.C.A., Groenenborgerlaan 171, Antwerpen 2020, Belgium
Abstract
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.