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Fisher‘s diagonal condition for lattice-valued convergence spaces
Abstract
We study a generalization of a diagonal condition which classically ensures that a convergence space is topological. We show that only under an additional condition, which classically is always true, the validity of this diagonal condition implies that a Heyting algebra-valued convergence space is L-topological.
Keywords: L-fuzzy convergence, L-topology, L-filter, L-diagonal filter, L-convergence space, pretopological space, diagonal condition
Quaestiones Mathematicae 31(2008), 11–25
Keywords: L-fuzzy convergence, L-topology, L-filter, L-diagonal filter, L-convergence space, pretopological space, diagonal condition
Quaestiones Mathematicae 31(2008), 11–25