论文标题
大地学永远不是唯一的公制空间
Metric Spaces where Geodesics are Never Unique
论文作者
论文摘要
本文涉及一类度量空间，我们称之为多层空间，在任何两个不同的点之间存在多个不同的不同的大地测量学。我们提供了多层规范空间的简单表征，并推断出$（c（[0,1]），|| \ cdot || _1）$是这样一个空间的一个示例，但是有限的差异空间不是。我们还调查了多层数的任意度量空间中可能还有哪些其他功能。
This article concerns a class of metric spaces, which we call multigeodesic spaces, where between any two distinct points there exist multiple distinct minimising geodesics. We provide a simple characterisation of multigeodesic normed spaces and deduce that $(C([0,1]),||\cdot||_1)$ is an example of such a space, but that finite-dimensional normed spaces are not. We also investigate what additional features are possible in arbitrary metric spaces which are multigeodesic.
