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Matematicheskie Zametki, 2002, Volume 71, Issue 4, Pages 581–589
DOI: https://doi.org/10.4213/mzm369 (Mi mzm369) 		 
This article is cited in 5 scientific papers (total in 5 papers)

The Space of Simple Configurations is Polish

O. V. Pugachev

M. V. Lomonosov Moscow State University
Full-text PDF (220 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm369
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.
Received: 09.11.2000
Revised: 01.06.2001
English version:
Mathematical Notes, 2002, Volume 71, Issue 4, Pages 530–537
DOI: https://doi.org/10.1023/A:1014835916189
Bibliographic databases:
UDC: 517
Language: Russian
Citation: O. V. Pugachev, “The Space of Simple Configurations is Polish”, Mat. Zametki, 71:4 (2002), 581–589; Math. Notes, 71:4 (2002), 530–537
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    1. O. V. Pugachev, “Nositel diffuzii v klasternom puassonovskom prostranstve”, Sib. elektron. matem. izv., 11 (2014), 327–333  mathnet
    2. Huiyan Zhao, “Yamada-Watanabe Theorem for Stochastic Evolution Equation Driven by Poisson Random Measure”, ISRN Probability and Statistics, 2014 (2014), 1  crossref
    3. Pugachev O.V., “Sobolevskie emkosti v prostranstve neevklidovykh konfiguratsii”, Vestnik moskovskogo gosudarstvennogo tekhnicheskogo universiteta im. N.E. Baumana. seriya: estestvennye nauki, 2011, 109–123 Sobolev capacities in space of non-euclidean configurations  elib
    4. Zhang, XC, “CLARK-OCONE FORMULA AND VARIATIONAL REPRESENTATION FOR Poisson FUNCTIONALS”, Annals of Probability, 37:2 (2009), 506  crossref  mathscinet  zmath  isi  scopus  scopus
    5. O. V. Pugachev, “Sobolev Capacities of Configurations with Multiple Points in Poisson Space”, Math. Notes, 76:6 (2004), 816–823  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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