Topological complexity of the work map
Algebraic Topology
2019-01-30 v2
Abstract
We introduce the topological complexity of the work map associated to a robot system. In broad terms, this measures the complexity of any algorithm controlling, not just the motion of the configuration space of the given system, but the task for which the system has been designed. From a purely topological point of view, this is a homotopy invariant of a map which generalizes the classical topological complexity of a space.
Cite
@article{arxiv.1706.09157,
title = {Topological complexity of the work map},
author = {Aniceto Murillo and Jie Wu},
journal= {arXiv preprint arXiv:1706.09157},
year = {2019}
}
Comments
To appear in Journal of Topology and Analysis