This article is cited 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.

UDC: 514.12

Received: 20.04.2009