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Bicompletion of Lowen fuzzy quasi-uniform spaces
Authors:Kamal El-Saady  
Affiliation:

Mathematics Department, Faculty of Science at Qena, South Valley Univ. Qena 83523, Egypt

Abstract:This paper is devoted to the construction of a bicompletion of Lowen fuzzy quasi-uniform spaces (or just [0,1]-fuzzy quasi-uniform spaces in this paper) and the study of that bicompletion, which appears to have a number of properties that one could resonably expect in analogy to the situation in ordinary quasi-uniform spaces, i.e., denseness of the original spaces in its bicompletion, extension property of quasi-uniformly continuous maps.
Keywords:I-fuzzy quasi-uniformities   Cauchy prefilters   I-fuzzy quasi-uniform completeness
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