Separated nets in Euclidean space and Jacobians of biLipschitz maps

Details Separated nets in Euclidean space and Jacobians of biLipschitz maps Separated nets in Euclidean space and Jacobians of biLipschitz maps

1997-03-30

arxiv.org/abs/dg-ga/9703022v1

Mathematics

Differential Geometry

LaTeX2e file, 6 pages

Scientific paper

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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