Title: Geodesic complexity for non-geodesic spaces
Abstract: 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.
Publication Year: 2020
Publication Date: 2020-09-24
Language: en
Type: preprint
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