LIPSCHITZ HOMEOMORPHISMS OF THE HILBERT CUBE

被引：8

作者：

Vaisala, Jussi ^{[1
]}

机构：

[1] Univ Helsinki, Dept Math, SF-00100 Helsinki 10, Finland

来源：

TOPOLOGY AND ITS APPLICATIONS | 1980年 / 11卷 / 01期

关键词：

Hilbert cube; lipeomorphism; quasiconformal; homogeneous; Lipschitz map;

D O I：

10.1016/0166-8641(80)90021-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the question whether the Hilbert cube Q is Lrpschitz homogeneous. The answer depends on the metric of Q. Ear example, setting d(x, y) = sup(i)vertical bar x(i) - y(i)vertical bar/j we obtain a Lipschitz homogeneous metric, but if the last j is replaced by j!, the answer is negative.

引用

页码：103 / 110

页数：8