English

The Borel Conjecture for hyperbolic and CAT(0)-groups

Geometric Topology 2010-03-26 v2 K-Theory and Homology

Abstract

We prove the Borel Conjecture for a class of groups containing word-hyperbolic groups and groups acting properly, isometrically and cocompactly on a finite dimensional CAT(0)-space.

Keywords

Cite

@article{arxiv.0901.0442,
  title  = {The Borel Conjecture for hyperbolic and CAT(0)-groups},
  author = {Arthur Bartels and Wolfgang Lueck},
  journal= {arXiv preprint arXiv:0901.0442},
  year   = {2010}
}

Comments

44 pages, in the revised version we have only made small changes in the exposition, e.g. added summaries to all sections

R2 v1 2026-06-21T11:57:32.453Z