Separated nets in Euclidean space and Jacobians of biLipschitz maps
classification
dg-ga
math.DGmath.MG
keywords
bilipschitzeuclideannetsseparatedargumentconstructioncontinuousequivalent
read the original 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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