Ends and simple coarse structures
Metric Geometry
2018-02-27 v4 General Topology
Geometric Topology
Abstract
This paper is devoted to introducing coarse structures in a very simple way, namely as an equivalence relation on the set of simple ends. As an application we show that Gromov boundary of every hyperbolic space is an example of a Higson corona and each Freundenthal compactification is an example of a Higson compactification.
Keywords
Cite
@article{arxiv.1801.09580,
title = {Ends and simple coarse structures},
author = {Jerzy Dydak},
journal= {arXiv preprint arXiv:1801.09580},
year = {2018}
}
Comments
16 pages, 4th version is significantly changed, especially Section 4. Also, a new section (Applications) added, where Mine-Yamashita-type results are proved