Geodesic complexity for non-geodesic spaces

被引：0
|
作者：
Donald M. Davis
机构：
[1] Lehigh University,Department of Mathematics
来源：
Boletín de la Sociedad Matemática Mexicana | 2022年 / 28卷
关键词：
Geodesic; Configuration space; Topological robotics; 53C22; 55R80; 55M30; 68T40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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