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Relative compact fuzzy subsets in fuzzy convergence spaces

✍ Scribed by Gunther Jäger

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 464 KB
Volume: 101
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(97)00072-9

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✦ Synopsis

Besides compactness the weaker notion of relative compactness plays an important role in topology. This paper generalizes a definition of relative compactness given by Chadwick [1] for fuzzy topological spaces to fuzzy convergence spaces as studied by the author ([4-6,8]). We prove that it is a "good extension", develop the necessary theory and finally give two applications to the theory of the fuzzy Richardson compactification and to the theory of fuzzy function spaces. @

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