Forme Equivalente à la Condition $Δ_2 $ et Certains résultats de séparations dans les Espaces Modulaires

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In 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 spaces
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