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Jager, Gunther. (1391). CONVERGENCE APPROACH SPACES AND APPROACH SPACES AS LATTICE-VALUED CONVERGENCE SPACES. نشریه علمی دانشگاه سیستان و بلوچستان, 9(4), 1-16. doi: 10.22111/ijfs.2012.129
Gunther Jager. "CONVERGENCE APPROACH SPACES AND APPROACH SPACES AS LATTICE-VALUED CONVERGENCE SPACES". نشریه علمی دانشگاه سیستان و بلوچستان, 9, 4, 1391, 1-16. doi: 10.22111/ijfs.2012.129
Jager, Gunther. (1391). 'CONVERGENCE APPROACH SPACES AND APPROACH SPACES AS LATTICE-VALUED CONVERGENCE SPACES', نشریه علمی دانشگاه سیستان و بلوچستان, 9(4), pp. 1-16. doi: 10.22111/ijfs.2012.129
Jager, Gunther. CONVERGENCE APPROACH SPACES AND APPROACH SPACES AS LATTICE-VALUED CONVERGENCE SPACES. نشریه علمی دانشگاه سیستان و بلوچستان, 1391; 9(4): 1-16. doi: 10.22111/ijfs.2012.129

CONVERGENCE APPROACH SPACES AND APPROACH SPACES AS LATTICE-VALUED CONVERGENCE SPACES

Iranian Journal of Fuzzy Systems
مقاله 2، دوره 9، شماره 4، دی 2012، صفحه 1-16  XML اصل مقاله (421.85 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2012.129
نویسنده
Gunther Jager email
Department of Statistics, Rhodes University, 6140 Grahamstown, South Africa
چکیده
We show that the category of convergence approach spaces is a
simultaneously reective and coreective subcategory of the category of latticevalued
limit spaces. Further we study the preservation of diagonal conditions,
which characterize approach spaces. It is shown that the category of preapproach
spaces is a simultaneously reective and coreective subcategory of
the category of lattice-valued pretopological spaces and that the category of
approach spaces is a coreective subcategory of a category of lattice-valued
topological convergence spaces
کلیدواژه‌ها
L-fuzzy convergence؛ L-topology؛ L-filter؛ L-limit space؛ Approach space؛ Convergence approach space؛ Pre-approach space
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