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Modelirovanie i Analiz Informatsionnykh Sistem, 2009, Volume 16, Number 2, Pages 109–118
(Mi mais57)
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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
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
Citation:
A. I. Garber, “On equivalence classes of separated nets”, Model. Anal. Inform. Sist., 16:2 (2009), 109–118
Linking options:
https://www.mathnet.ru/eng/mais57 https://www.mathnet.ru/eng/mais/v16/i2/p109
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Abstract page: | 343 | Full-text PDF : | 187 | References: | 47 |
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