English

Transversal motion planning

Algebraic Topology 2023-03-14 v1

Abstract

In this paper, we introduce the notion of transversal topological complexity (TTC) for a smooth manifold XX with respect to a submanifold of codimension 1 together with basic results about this numerical invariant. In addition, we present several examples of explicit transversal algorithms.

Keywords

Cite

@article{arxiv.2303.06715,
  title  = {Transversal motion planning},
  author = {Cesar A. Ipanaque Zapata and Fernando R. Chu Rivera},
  journal= {arXiv preprint arXiv:2303.06715},
  year   = {2023}
}

Comments

12 pages. Comments are welcome

R2 v1 2026-06-28T09:13:02.078Z