2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158412We find many conditions equivalent to the model-theoretical property $λ\stackrelκ{\Rightarrow} μ$ introduced in [L1]. Our conditions involve uniformity of ultrafilters, compactness properties of products of topological spaces and the existence of certain infinite matrices.5 pagesLogicGeneral Topology03C20, 03E05, 54B10, 54D20 (Primary); 03C55, 03C98 (Secondary)Combinatorial and model-theoretical principles related to regularity of ultrafilters and compactness of topological spaces. IItext