Geodesic
On equivalence classes of separated nets
Modelirovanie i analiz informacionnyh sistem, Tome 16 (2009) no. 2, pp. 109-118.

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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. 
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A. I. Garber. On equivalence classes of separated nets. Modelirovanie i analiz informacionnyh sistem, Tome 16 (2009) no. 2, pp. 109-118. http://geodesic.mathdoc.fr/item/MAIS_2009_16_2_a6/

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