Abstract and concrete categories
Abstract and concrete categories
On many-valued stratified L-fuzzy convergence spaces
Fuzzy Sets and Systems
Lattice-valued convergence spaces and regularity
Fuzzy Sets and Systems
Subcategories of lattice-valued convergence spaces
Fuzzy Sets and Systems
Compactification of lattice-valued convergence spaces
Fuzzy Sets and Systems
A one-point compactification for lattice-valued convergence spaces
Fuzzy Sets and Systems
Largest and smallest T2-compactifications of lattice-valued convergence spaces
Fuzzy Sets and Systems
Enriched lattice-valued convergence groups
Fuzzy Sets and Systems
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We study conditions which ensure the compactness and weak relative compactness of a set of mappings between two lattice-valued convergence spaces. We consider lattice-valued pointwise convergence and lattice-valued continuous convergence. A suitable notion of even continuity for subsets of a function space is introduced which allows to pass from compactness with respect to the lattice-valued pointwise convergence to compactness with respect to lattice-valued continuous convergence. It is shown that with a regularity condition for the second space, we can deduce compactness conditions for sets of continuous mappings between two lattice-valued convergence spaces.