Local compactness in fuzzy convergence spaces
Abbreviated Journal Title
J. Math. Anal. Appl.
fuzzy convergence; relative compactness; precompactness; local; precompactness; Mathematics, Applied; Mathematics
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 of Mathematical Analysis and Applications
"Local compactness in fuzzy convergence spaces" (2002). Faculty Bibliography 2000s. 3090.