Group Width
Geometric Topology
2010-12-15 v2
Abstract
There are many "minimax" complexity functions in mathematics: width of a tree or a link, Heegaard genus of a 3-manifold, the Cheeger constant of a Riemannian manifold. We define such a function w, "width", on countable (or finite) groups and show w(Z^k) = k-1.
Cite
@article{arxiv.1011.2460,
title = {Group Width},
author = {Michael H. Freedman},
journal= {arXiv preprint arXiv:1011.2460},
year = {2010}
}
Comments
Minor changes