English

Discrete Topological complexity

Algebraic Topology 2017-06-12 v1

Abstract

We introduce a notion of discrete topological complexity in the setting of simplicial complexes, using only the combinatorial structure of the complex by means of the concept of contiguous simplicial maps. We study the links of this new invariant with those of simplicial and topological LS-category.

Keywords

Cite

@article{arxiv.1706.02894,
  title  = {Discrete Topological complexity},
  author = {D. Fernández-Ternero and E. Macías-Virgós and E. Minuz and J. A. Vilches},
  journal= {arXiv preprint arXiv:1706.02894},
  year   = {2017}
}

Comments

12 pages, 2 figures

R2 v1 2026-06-22T20:13:53.948Z