2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226335In this paper we go into the study of 2-limits and 2-colimits in the 2-category CAT the category of small categories. More precisely we show the commutation of filtered 2-colimits and finite 2-limits. It is a generalization of a classical result in category theory.Category Theory18A30Interchange of filtered 2-colimits and finite 2-limitstext