论文标题
Lipschitz的意思和搅拌机在公制空间上
Lipschitz means and mixers on metric spaces
论文作者
论文摘要
中心的标准算术度量，平均值和中位数具有自然拓扑的对应物，这些拓扑是在连续理论中广泛使用的。在度量空间的背景下，考虑Lipschitz的均值和中位数的连续版本是很自然的。我们表明，它们与度量空间几何形状的熟悉概念有关：有限的转弯属性，准对称参数化的存在等。
The standard arithmetic measures of center, the mean and median, have natural topological counterparts which 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.
