Geodesic
The Space of Simple Configurations is Polish
Matematičeskie zametki, Tome 71 (2002) no. 4, pp. 581-589.

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

It is proved that the space of configurations without multiple points on a smooth Riemannian manifold is Polish with respect to the weak topology; a criterion for a subspace of this space to be precompact is given. 
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O. V. Pugachev. The Space of Simple Configurations is Polish. Matematičeskie zametki, Tome 71 (2002) no. 4, pp. 581-589. http://geodesic.mathdoc.fr/item/MZM_2002_71_4_a9/

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