Bidirectional Sequential Motion Planning
Algebraic Topology
2021-01-25 v2
Abstract
We define a simpler notion of symmetric topological complexity more ad hoc to the motion planning problem which was the original motivation for the definition of topological complexity. This is a homotopy invariant that we call bidirectional topological complexity. We prove properties of this invariant and show specific instances for which the symmetrized topological complexity can be relaxed to the bidirectional setting. This approach allows us to estimate higher values of symmetrized topological complexities.
Cite
@article{arxiv.1909.05924,
title = {Bidirectional Sequential Motion Planning},
author = {Enrique Torres-Giese},
journal= {arXiv preprint arXiv:1909.05924},
year = {2021}
}
Comments
This version includes a number of corrections