English

On asymptotic extension dimension

Geometric Topology 2011-05-31 v1 General Topology Metric Geometry

Abstract

The aim of this paper is to introduce an asymptotic counterpart of the extension dimension defined by Dranishnikov. The main result establishes a relation between the asymptotic extensional dimension of a proper metric space and extension dimension of its Higson corona.

Cite

@article{arxiv.1105.5724,
  title  = {On asymptotic extension dimension},
  author = {Dušan Repovš and Mykhailo Zarichnyi},
  journal= {arXiv preprint arXiv:1105.5724},
  year   = {2011}
}
R2 v1 2026-06-21T18:14:02.247Z