%0 Journal Article
%T A NOTE ON THE RELATIONSHIP BETWEEN HUTTON'S
QUASI-UNIFORMITIES AND SHI'S QUASI-UNIFORMITIES
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Yue, Yueli
%D 2013
%\ 08/29/2013
%V 10
%N 4
%P 119-124
%! A NOTE ON THE RELATIONSHIP BETWEEN HUTTON'S
QUASI-UNIFORMITIES AND SHI'S QUASI-UNIFORMITIES
%K Hutton's quasi-uniformity
%K Shi's quasi-uniformity
%K Reflective category
%R 10.22111/ijfs.2013.1051
%X This note studies the relationship between Hutton's quasi-uniformities and Shi's quasi-uniformities. It is shown that when $L$ satisfies``multiple choice principle" for co-prime elements, the category of Hutton's quasi-uniform spaces is a bireflective full subcategory of the category of Shi's quasi-uniform spaces. Especially, if the remote-neighborhood mapping defined by Shi preserves arbitrary joins, then the two categories are isomorphic to each other.
%U https://ijfs.usb.ac.ir/article_1051_859cc3d9ab5fa5d64a48a31360c11d47.pdf