On constructions preserving the asymptotic topology of metric spaces
Geometric Topology
2015-10-08 v2
Abstract
We prove that graph products constructed over infinite graphs with bounded clique number preserve finite asymptotic dimension. We also study the extent to which Dranishnikov's property C, and Dranishnikov and Zarichnyi's straight finite decomposition complexity are preserved by constructions such as unions, free products, and group extensions.
Keywords
Cite
@article{arxiv.1309.6276,
title = {On constructions preserving the asymptotic topology of metric spaces},
author = {Gregory C. Bell and Danielle S. Moran},
journal= {arXiv preprint arXiv:1309.6276},
year = {2015}
}
Comments
13 pages, accepted for publication in NC Journal of Mathematics and Statistics