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. 
@article{MZM_2002_71_4_a9,
     author = {O. V. Pugachev},
     title = {The {Space} of {Simple} {Configurations} is {Polish}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {581--589},
     publisher = {mathdoc},
     volume = {71},
     number = {4},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_71_4_a9/}
}
TY  - JOUR
AU  - O. V. Pugachev
TI  - The Space of Simple Configurations is Polish
JO  - Matematičeskie zametki
PY  - 2002
SP  - 581
EP  - 589
VL  - 71
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2002_71_4_a9/
LA  - ru
ID  - MZM_2002_71_4_a9
ER  - 
%0 Journal Article
%A O. V. Pugachev
%T The Space of Simple Configurations is Polish
%J Matematičeskie zametki
%D 2002
%P 581-589
%V 71
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2002_71_4_a9/
%G ru
%F MZM_2002_71_4_a9
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/