Title

Local compactness in fuzzy convergence spaces

Authors

Authors

Y. Boissy; P. Brock;G. Richardson

Comments

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Abbreviated Journal Title

J. Math. Anal. Appl.

Keywords

fuzzy convergence; relative compactness; precompactness; local; precompactness; Mathematics, Applied; Mathematics

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. (C) 2002 Elsevier Science (USA).

Journal Title

Journal of Mathematical Analysis and Applications

Volume

268

Issue/Number

2

Publication Date

1-1-2002

Document Type

Article

DOI Link

http://dx.doi.org/10.1006/jmaa.2000.7136

Language

English

First Page

406

Last Page

416

WOS Identifier

WOS:000175400300003

ISSN

0022-247X

Recommended Citation

"Local compactness in fuzzy convergence spaces" (2002). Faculty Bibliography 2000s. 3090.
https://stars.library.ucf.edu/facultybib2000/3090