English

Directed topological complexity of spheres

Algebraic Topology 2019-08-06 v2

Abstract

We show that the directed topological complexity (as defined by E. Goubault) of the directed nn-sphere is 22, for all n1n\ge1.

Cite

@article{arxiv.1810.00339,
  title  = {Directed topological complexity of spheres},
  author = {Ayse Borat and Mark Grant},
  journal= {arXiv preprint arXiv:1810.00339},
  year   = {2019}
}

Comments

6 pages, 1 figure. v2: To appear in the Journal of Applied and Computational Topology

R2 v1 2026-06-23T04:23:21.939Z