Title

Local Compactness In Fuzzy Convergence Spaces

Keywords

Fuzzy convergence; Local precompactness; Precompactness; Relative compactness

Abstract

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 modifications is discussed. © 2002 Elsevier Science (USA).

Publication Date

4-15-2002

Publication Title

Journal of Mathematical Analysis and Applications

Volume

268

Issue

2

Number of Pages

406-416

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1006/jmaa.2000.7136

Socpus ID

0037091399 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0037091399

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