Coarse Homotopy on metric Spaces and their Corona
Metric Geometry
2019-07-09 v1 Algebraic Topology
Abstract
This paper discusses properties of the Higson corona by means of a quotient on coarse ultrafilters on a proper metric space. We use this description to show that the corona functor is faithful. This study provides a K\"unneth formula for twisted coarse cohomology. We obtain the Gromov boundary of a hyperbolic proper geodesic metric space as a quotient of its Higson corona.
Keywords
Cite
@article{arxiv.1907.03510,
title = {Coarse Homotopy on metric Spaces and their Corona},
author = {Elisa Hartmann},
journal= {arXiv preprint arXiv:1907.03510},
year = {2019}
}