LATTICE-VALUED CATEGORIES OF LATTICE-VALUED CONVERGENCE SPACES

Abstract. We study L-categories of lattice-valued convergence spaces. Such categories are obtained by "fuzzifying" the axioms of a lattice-valued convergence space. We give a natural example, study initial constructions and function spaces. Further we look into some L-subcategories. Finally we use this approach to quantify how close certain lattice-valued convergence spaces are to being lattice-valued topological spaces.