Local Compactness in Fuzzy Convergence Spaces

  title={Local Compactness in Fuzzy Convergence Spaces},
  author={Y. Boissy and Paul Brock and Gary D. Richardson},
  journal={Journal of Mathematical Analysis and Applications},
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… 
Fuzzy convergence: open and proper maps


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This study is a continuation of an earlier paper on the regularity series of a convergence space. The notions of a R-Hausdorff series and the T3-modification of a convergence space are introduced,
Fuzzy math
Regular completions of Cauchy spaces
A uniform convergence space is a generalization of a uniform space. The set of all Cauchy filters of some uniform convergence space is called a Cauchy structure. We give necessary and sufficient