2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123507In this paper we study the 2-dimension of a finite poset from the topological point of view. We use homotopy theory of finite topological spaces and the concept of a beat point to improve the classical results on 2-dimension, giving a more complete answer to the problem of all possible 2-dimensions of an n-point poset.10 pagesCombinatorics06A06; 06A07; 54A10; 54H99text