Fuzzy uniform spaces

Burton, Michael Howard (1992) Fuzzy uniform spaces. PhD thesis, Rhodes University.

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BURTON- PhD-TR92-10.pdf



For a fuzzy uniform space, the notion of a Cauchy prefilter, a precompact fuzzy set, a complete fuzzy set and a bounded fuzzy set are defined in such a way that these notions are good extensions of the corresponding notions for a uniform space. A theory of fuzzy uniform spaces is developed which generalises the theory of uniform spaces.

Item Type:Thesis (PhD)
Uncontrolled Keywords:Fuzzy uniformity, Cauchy filter, Cauchy prefilter, Precompact fuzzy set, Complete fuzzy set, Compact fuzzy set, Bounded fuzzy set, Cauchy prefilter, Cauchy filter, Bounded set
Subjects:Q Science > QA Mathematics
Divisions:Faculty > Faculty of Science > Mathematics (Pure & Applied)
ID Code:4165
Deposited By: Philip Clarke
Deposited On:05 Dec 2012 08:23
Last Modified:05 Dec 2012 08:23
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