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Local Compactness in Fuzzy Convergence Spaces

✍ Scribed by Y. Boissy; P. Brock; G. Richardson

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
98 KB
Volume
268
Category
Article
ISSN
0022-247X

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✦ Synopsis

Two notions of local precompactness in the realm of fuzzy convergence spaces are investigated. It is shown that the property of local precompactness possesses a ''good extension.'' Moreover, for each given fuzzy convergence space, there exists a coarsest locally precompact space which is finer than the original space. Continuity between fuzzy spaces is preserved between the associated locally precompact spaces. Invariance of regularity with respect to taking locally precompact modifica-Ε½ .

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