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http://dx.doi.org/10.5831/HMJ.2011.33.1.027

L-FUZZY TOPOLOGICAL SPACES AND L-FUZZY QUASI-PROXIMITY SPACES  

Kim, Eun-Seok (Department of Mathematics, Chonnam National University)
Ahn, Seung-Ho (Department of Mathematics, Chonnam National University)
Park, Dae-Heui (Department of Mathematics, Chonnam National University)
Publication Information
Honam Mathematical Journal / v.33, no.1, 2011 , pp. 27-41 More about this Journal
Abstract
This paper studies the relationship between L-fuzzy proximities and L-fuzzy topologies by topological fuzzy remote neigh-borhood systems. We will prove that the category of L-fuzzy topo- logical spaces can be embedded in the category of L-fuzzy quasi-proximity spaces as a core ective full subcategory.
Keywords
L-fuzzy topology; L-fuzzy uniformity; L-fuzzy proximity; L-fuzzy topological order; fuzzy remote neighborhood systems;
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