SEPARATED NETS IN EUCLIDEAN-SPACE AND JACOBIANS OF BILIPSCHITZ MAPS

Authors
BURAGO D KLEINER B
Citation
D. Burago et B. Kleiner, SEPARATED NETS IN EUCLIDEAN-SPACE AND JACOBIANS OF BILIPSCHITZ MAPS, Geometric and functional analysis, 8(2), 1998, pp. 273-282
Citations number
8
Categorie Soggetti
Mathematics,Mathematics
Journal title
Geometric and functional analysis → ACNP
ISSN journal
1016443X
Volume
8
Issue
2
Year of publication
1998
Pages
273 - 282
Database
ISI
SICI code
1016-443X(1998)8:2<273:SNIEAJ>2.0.ZU;2-0
Abstract
We show that there are separated nets in the Euclidean plane which are not biLipschitz equivalent to the integer lattice. The argument is ba sed on the construction of a continuous function which is not the Jaco bian of a biLipschitz map.