Lipschitz means and mixers on metric spaces

被引：1
|
作者：
Kovalev, Leonid V. [1 ]
机构：
[1] Syracuse Univ, Dept Math, 215 Carnegie, Syracuse, NY 13244 USA
来源：
ILLINOIS JOURNAL OF MATHEMATICS | 2024年 / 68卷 / 01期
关键词：
HOMOTOPY-GROUPS; QUASICIRCLES;
D O I：
10.1215/00192082-11081300
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The standard arithmetic measures of center, the mean, and the median, have natural topological counterparts that have been widely used in continuum theory. In the context of metric spaces, it is natural to consider the Lipschitz continuous versions of the mean and median. We show that they are related to familiar concepts of the geometry of metric spaces: the bounded turning property, the existence of quasisymmetric parameterization, and others.
引用
收藏
页码：167 / 187
页数：22
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