论文标题

固有的准对象

Intrinsic quasi-metrics

论文作者

Rainio, Oona

论文摘要

点对函数$ p_g $在域中定义的$ g \ subsetneq \ mathbb {r}^n $显示为准 - 列表,并研究了其其他属性。对于凸域$ g \ subsetNeq \ mathbb {r}^n $,引入了一种称为函数$ w_g $的新的intinsic quasi-metric。为这两个准量表建立了几个尖锐的结果,并研究了它们与三角形比率度量的连接。

The point pair function $p_G$ defined in a domain $G\subsetneq\mathbb{R}^n$ is shown to be a quasi-metric and its other properties are studied. For a convex domain $G\subsetneq\mathbb{R}^n$, a new intrinsic quasi-metric called the function $w_G$ is introduced. Several sharp results are established for these two quasi-metrics, and their connection to the triangular ratio metric is studied.

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