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Burton, Michael Howard (1992) Fuzzy uniform spaces. PhD thesis, Rhodes University.
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BURTON- PhD-TR92-10.pdf 11Mb |
Abstract
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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