Abstract
In this paper, we investigate the L-fuzzy proximities and the re- lationships between L-fuzzy topologies, L-fuzzy topogenous order and L-fuzzy uniformity. First, we show that the category of L-fuzzy topological spaces can be embedded in the category of L-fuzzy quasi-proximity spaces as a coreec- tive full subcategory. Second, we show that the category of L-fuzzy proximity spaces is isomorphic to the category of L-fuzzy topogenous order spaces. Fi- nally, we obtain that the category ofL-fuzzy proximity spaces can be embedded in the category of L-fuzzy uniform spaces as a bireective full subcategory.
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