Abstract.
We show that there are separated nets in the Euclidean plane which are not biLipschitz equivalent to the integer lattice. The argument is based on the construction of a continuous function which is not the Jacobian of a biLipschitz map.
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Submitted: April 1997
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Burago, D., Kleiner, B. Separated nets in Euclidean space and Jacobians of biLipschitz maps. GAFA, Geom. funct. anal. 8, 273–282 (1998). https://doi.org/10.1007/s000390050056
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DOI: https://doi.org/10.1007/s000390050056