Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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L-FUZZY UNIFORM SPACES

  • Yue, Yue-Li (DEPARTMENT OF MATHEMATICS OCEAN UNIVERSITY OF CHINA) ;
  • Shi, Fu-Gui (DEPARTMENT OF MATHEMATICS BEIJING INSTITUTE OF TECHNOLOGY)
  • Published : 2007.11.30
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Abstract

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.

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