• Journal of the Chungcheong Mathematical Society
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• v.24 no.2
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• pp.303-311
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• 2011

Every topology is generated by a quasi-uniform distance system. The quasi-uniform distance system is a uniform distance system. The topology is uniformizable if and only if it is generated by the uniform distance system with the symmetric distance function.

• Journal of the Korean Mathematical Society
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• v.44 no.6
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• pp.1383-1396
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• 2007

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.