Geodesic complexity for non-geodesic spaces

Published 24 Sep 2020 in math.MG and math.AT | (2009.11628v4)

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.

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Authors (1)

Donald M. Davis

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