FuzzyTL-uniform spaces
2006 ◽
Vol 2006
◽
pp. 1-24
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Keyword(s):
The main purpose of this paper is to introduce a new structure that is a fuzzyTL-uniform space. We show that our structure generates a fuzzy topological space, precisely, a fuzzyT-locality space. Also, we deduce the concept of level uniformities of a fuzzyTL-uniformity. We connect the category of fuzzyTL-uniform spaces with the category of uniform spaces. We establish a necessary and sufficient condition, under which a fuzzyTL-uniformity is probabilistic pseudometrizable. Finally, we define a functor from the category of fuzzyTL-uniform spaces into the category of fuzzyT-locality spaces and we show that it preserves optimal lifts.
2016 ◽
Vol 09
(02)
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pp. 1650035
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1972 ◽
Vol 24
(3)
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pp. 502-519
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1968 ◽
Vol 20
◽
pp. 795-804
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1974 ◽
Vol 26
(6)
◽
pp. 1289-1293
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2020 ◽
Vol 16
(2)
◽
pp. 5-22
2017 ◽
Vol E100.A
(12)
◽
pp. 2764-2775
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