English

A combinatorial description of topological complexity for finite spaces

Combinatorics 2019-03-22 v2 Algebraic Topology

Abstract

This paper presents a combinatorial analog of topological complexity for finite spaces. We demonstrate that this coincides with the genuine topological complexity of the original finite space, and constitutes an upper bound for the topological complexity of its order complex.

Keywords

Cite

@article{arxiv.1605.06755,
  title  = {A combinatorial description of topological complexity for finite spaces},
  author = {Kohei Tanaka},
  journal= {arXiv preprint arXiv:1605.06755},
  year   = {2019}
}

Comments

This is the final version