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Le but de cette note est de donner la réponse à la question suivante: Question: Tout ensemble de points qui possède la propriété de Rene Baire doit-il êstre nécessairement mesurable?
Le but de cette note est de démontrer (sans l'hypothése que 2^{א_0}=א_1) qu'il existe dans l'intervalle (0,1) un ensemble non dénombrable G qui est de première catégorie dans tout ensemble parfait situé dans (0,1).
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