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L-FUZZY TOPOLOGICAL SPACES AND L-FUZZY QUASI-PROXIMITY SPACES
Kim, Eun-Seok,Ahn, Seung-Ho,Park, Dae-Heui The Honam Mathematical Society 2011 호남수학학술지 Vol.33 No.1
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.
L-FUZZY TOPOLOGICAL SPACES AND L-FUZZY QUASI-PROXIMITY SPACES
김은석,안승호,박대희 호남수학회 2011 호남수학학술지 Vol.33 No.1
This paper studies the relationship between L-fuzzy proximities and L-fuzzy topologies by topological fuzzy remote neighborhood systems. We will prove that the category of L-fuzzy topological spaces can be embedded in the category of L-fuzzy quasiproximity spaces as a core ective full subcategory.
Yue, Yue-Li,Shi, Fu-Gui Korean Mathematical Society 2007 대한수학회지 Vol.44 No.6
The aim of this paper is to study L-fuzzy uniformizable spaces. A new kind of topological fuzzy remote neighborhood system is defined and used for investigating the relationship between L-fuzzy co-topology and L-fuzzy (quasi-)uniformity. It is showed that this fuzzy remote neighborhood system is different from that in [23] when $\mathcal{U}$ is an L-fuzzy quasi-uniformity and they will be coincident when $\mathcal{U}$ is an L-fuzzy uniformity. It is also showed that each L-fuzzy co-topological space is L-fuzzy quasi-uniformizable.