Boletin de la Sociedad Matematica Mexicana, volume 28, issue 1, publication number 8
Geodesic complexity for non-geodesic spaces
Donald M Davis
1
Publication type: Journal Article
Publication date: 2021-12-10
scimago Q2
SJR: 0.399
CiteScore: 1.6
Impact factor: 0.9
ISSN: 00378615, 1405213X, 22964495
General Mathematics
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.
Found
Are you a researcher?
Create a profile to get free access to personal recommendations for colleagues and new articles.