Separated nets in Euclidean space and Jacobians of Bilipschitz maps
Separated nets in Euclidean space and Jacobians of Bilipschitz maps
复制标题
DOI：
10.1007/s000390050056
复制
发表时间：
1998-01-01
影响因子：
2.2
通讯作者：
Kleiner, B
中科院分区：
文献类型：
--
作者：
Burago, D;Kleiner, B
我们证明了在欧氏平面上存在与整数格不是biLipschitz等价的分离网。论证的基础是构造一个连续函数，该函数不是双Lipschitz映射的雅可比。
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.