Title of article
Relationships between completeness of fuzzy quasi-uniform spaces
Author/Authors
Yuan, C Department of Mathematics - Ocean University of China, Qingdao, P.R.China , Yue, Y Department of Mathematics - Ocean University of China, Qingdao, P.R.China
Pages
10
From page
97
To page
106
Abstract
In this paper, we give a kind of Cauchy 1-completeness in probabilistic quasi-uniform spaces by using 1-lters. Utilizing
the relationships among probabilistic quasi-uniformities, classical quasi-uniformities and Hutton [0, 1]-quasi-uniformities,
we show the relationships between their completeness. In fuzzy quasi-metric spaces, we establish the relationships
between the completeness of induced probabilistic quasi-uniform spaces and both completeness of induced classical
quasi-uniform spaces and induced Hutton [0, 1]-quasi-uniform spaces.
Keywords
Cauchy 1-completeness , 1-filter , Hutton [0, 1]-quasi-uniformity , classical quasi-uniformity , probabilistic quasi-uniformity
Serial Year
2019
Record number
2493956
Link To Document