English

The topological complexity of the free product

Algebraic Topology 2017-11-02 v2 Geometric Topology

Abstract

We prove the formula TC(GH)=max{TC(G),TC(H),cd(G×H)}TC(G\ast H)=\max\{TC(G), TC(H), cd(G\times H)\} for the topological complexity of the free product of discrete groups with cohomological dimension >2.

Keywords

Cite

@article{arxiv.1710.04711,
  title  = {The topological complexity of the free product},
  author = {Alexander Dranishnikov and Rustam Sadykov},
  journal= {arXiv preprint arXiv:1710.04711},
  year   = {2017}
}