
The authors introduce and investigate two notions of locally compact fuzzy convergence spaces, continuing \textit{G. Jäger}'s paper on relative compactness [Fuzzy Sets Syst. 101, No. 1, 159-165 (1999; Zbl 0930.54008)]. Among others they show that the categories of these spaces are coreflective subcategories of the category of fuzzy convergence spaces.
Precompactness, regularity, Fuzzy topology, Local compactness, \(\sigma\)-compactness, Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.), Local precompactness, Applied Mathematics, Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.), fuzzy convergence, Relative compactness, Fuzzy convergence, local, Applied, relative compactness, precompactness, fuzzy convergence space, Choquet convergence space, Mathematics, local precompactness, Analysis
Precompactness, regularity, Fuzzy topology, Local compactness, \(\sigma\)-compactness, Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.), Local precompactness, Applied Mathematics, Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.), fuzzy convergence, Relative compactness, Fuzzy convergence, local, Applied, relative compactness, precompactness, fuzzy convergence space, Choquet convergence space, Mathematics, local precompactness, Analysis
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