Localization for coarse homology theories
K-Theory and Homology
2024-05-29 v5 Algebraic Topology
Metric Geometry
Abstract
We introduce the notion of a Bredon-style equivariant coarse homology theory. We show that such a Bredon-style equivariant coarse homology theory satisfies localization theorems and that a general equivariant coarse homology theory can be approximated by a Bredon-style version. We discuss the special case of algebraic and topological equivariant coarse -homology and obtain the coarse analog of Segal's localization theorem.
Cite
@article{arxiv.1902.04947,
title = {Localization for coarse homology theories},
author = {Ulrich Bunke and Luigi Caputi},
journal= {arXiv preprint arXiv:1902.04947},
year = {2024}
}
Comments
48 pages, some typos corrected