This article is cited in 5 papers

The Space of Simple Configurations is Polish

O. V. Pugachev

M. V. Lomonosov Moscow State University

Abstract: 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.

UDC: 517

Received: 09.11.2000
Revised: 01.06.2001

DOI: 10.4213/mzm369

 English version: Mathematical Notes, 2002, 71:4, 530–537

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