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Modelirovanie i Analiz Informatsionnykh Sistem, 2009, Volume 16, Number 2, Pages 109–118 (Mi mais57)  

This article is cited in 3 scientific papers (total in 3 papers)

On equivalence classes of separated nets

A. I. Garber

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (291 kB) Citations (3)
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Abstract: We prove several sufficient conditions for changes of a separated net to remain in the same bi-Lipschitz equivalence class. Also, using the construction of D. Burago and B. Kleiner we obtain a concrete example of a separated net which is not bi-Lipschitz equivalent to a lattice.
Keywords: separated net, bi-Lipschitz equivalence, Euclidean space.
Received: 20.04.2009
Document Type: Article
UDC: 514.12
Language: Russian
Citation: A. I. Garber, “On equivalence classes of separated nets”, Model. Anal. Inform. Sist., 16:2 (2009), 109–118
Citation in format AMSBIB
\Bibitem{Gar09}
\by A.~I.~Garber
\paper On equivalence classes of separated nets
\jour Model. Anal. Inform. Sist.
\yr 2009
\vol 16
\issue 2
\pages 109--118
\mathnet{http://mi.mathnet.ru/mais57}
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  • https://www.mathnet.ru/eng/mais57
  • https://www.mathnet.ru/eng/mais/v16/i2/p109
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Моделирование и анализ информационных систем
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    References:50
     
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