2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94770In this paper, we present an equivalent form of the $Δ_2 $-condition which allow us to redefine the topological vector space structure of a modular spaces using the filter base. We show also the characterization of closed subsets (in the sens of this topology) of a modular spaces which permit us to establish some separation results in modular spaces11p,pas de figureFunctional Analysistext