L-proximities and totally bounded pointwise L-uniformities

Authors:
Fu-Gui Shi;Jie Zhang;Chong-You Zheng
Affiliations:
Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China;College of Science, North China University of Technology, Beijing 100041, China;Department of Mathematics, Capital Normal University, Beijing 100037, China
Venue:
Fuzzy Sets and Systems - Topology
Year:
2003

Citing 4
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Abstract

In this paper, we shall develop the study of connections between L-(quasi-)proximities in the sense of Katsaras-Liu-Artico--Moresco and pointwise L-(quasi-)uniformities in the sense of Shi. We shall prove that there exists a one-to-one correspondence between L-(quasi-)proximity spaces and totally bounded pointwise L-(quasi-)uniform spaces.