论文标题

非晶状体空间的地球复杂性

Geodesic complexity for non-geodesic spaces

论文作者

Davis, Donald M.

论文摘要

我们在不存在的测量时定义了度量空间点之间几乎几何的概念,并使用它将Recio-Mitter的大地测量复杂性概念扩展到非地形空间。这可能是对拓扑机器人技术的潜在应用。在各种情况下,我们确定接近地球学和大地测量复杂性的显式。

We define the notion of near geodesic between points of a metric space when no geodesic exists, and use this to extend Recio-Mitter's notion of geodesic complexity to non-geodesic spaces. This has potential application to topological robotics. We determine explicit near geodesics and geodesic complexity in a variety of cases.

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