Compactness in lattice-valued function spaces (Q622062)

Along the line with classical results, the author studies conditions which ensure the compactness and weak relative compactness of a set of mappings between two lattice-valued convergence spaces. He considers lattice-valued pointwise convergence and lattice-valued continuous convergence. The suitable notion of even continuity and regularity for subsets of a function space is introduced which seem to be of further interest.