2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69678We give an answer to the following question: for which metric in an abstract lattice the completion as a metric space coincides with the completion as a lattice. We obtain the answer for inductive limits of lattices which are complete in both senses. As an application we construct such a metric in the lattice of continuous functions endowed with the uniform convergence.Sorry, this article is being rewritten. Please email the author to be informed about its availabilityFunctional AnalysisClassical Analysis and ODEs46E05 (primary); 06B30 (secondary); 46A40; 54H12text