English

Topological complexity of collision-free multi-tasking motion planning on orientable surfaces

Algebraic Topology 2016-07-27 v1

Abstract

We compute the higher topological complexity of ordered configuration spaces of orientable surfaces, thus extending Cohen-Farber's description of the ordinary topological complexity of those spaces.

Keywords

Cite

@article{arxiv.1607.07667,
  title  = {Topological complexity of collision-free multi-tasking motion planning on orientable surfaces},
  author = {Jesús González and Bárbara Gutiérrez},
  journal= {arXiv preprint arXiv:1607.07667},
  year   = {2016}
}

Comments

18 pages