Universal spaces for asymptotic dimension zero
Metric Geometry
2021-11-04 v2 General Topology
Abstract
Dranishnikov and Zarichnyi constructed a universal space in the coarse category of spaces of bounded geometry of asymptotic dimension . In this paper we construct universal spaces in the coarse category of separable (respectively, proper) metric spaces of asymptotic dimension . Our methods provide an alternative proof of Dranishnikov-Zarichnyi result.
Cite
@article{arxiv.2110.08929,
title = {Universal spaces for asymptotic dimension zero},
author = {Yuankui Ma and Jeremy Siegert and Jerzy Dydak},
journal= {arXiv preprint arXiv:2110.08929},
year = {2021}
}
Comments
9 pages Added a new section Ultrametric groups as universal spaces and corrected spelling of some of non-English names