Geodesic
A class of free locally convex spaces
Sbornik. Mathematics, Tome 194 (2003) no. 3, pp. 333-360

Voir la notice de l'article provenant de la source Math-Net.Ru

Stratifiable spaces are a natural generalization of metrizable spaces for which Dugundji's theorem holds. It is proved that the free locally convex space of a stratifiable space is stratifiable. This means, in particular, that the space of finitely supported probability measures on a stratifiable space is a retract of a locally convex space, and that each stratifiable convex subset of a locally convex space is a retract of a locally convex space. 
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     title = {A class of free locally convex spaces},
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O. V. Sipacheva. A class of free locally convex spaces. Sbornik. Mathematics, Tome 194 (2003) no. 3, pp. 333-360. http://geodesic.mathdoc.fr/item/SM_2003_194_3_a1/