Indecomposable continua as Higson coronae
General Topology
2020-10-05 v2 Combinatorics
Group Theory
Geometric Topology
Abstract
In this paper, we consider spaces whose Higson coronae are indecomposable continua. We show that for a non-compact proper metric space which is coarsely geodesic and has coarse bounded geometry, the Higson corona of is an indecomposable continuum if and only if is coarsely equivalent to the space of natural numbers. Then we give characterizations of finitely generated groups that have one or two ends by decomposability/indecomposability of the components of their Higson coronae. we characterize it as a group whose Higson corona is a topological sum of two indecomposable continua.
Keywords
Cite
@article{arxiv.1909.03563,
title = {Indecomposable continua as Higson coronae},
author = {Yutaka Iwamoto},
journal= {arXiv preprint arXiv:1909.03563},
year = {2020}
}