Abstract
This note studies the relationship between Hutton's quasi-unifor- mities and Shi's quasi-uniformities. It is shown that when L satises\multiple choice principle for co-prime elements, the category of Hutton's quasi-uniform spaces is a bireective full subcategory of the category of Shi's quasi-uniform spaces. Especially, if the remote-neighborhood mapping dened by Shi pre- serves arbitrary joins, then the two categories are isomorphic to each other.
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