Geometry & Topology 13 (2009) 699–707

DOI: 10.2140/gt.2009.13.699

Correction to Geometry & Topology 9 (2005) 1501–1538

Abstract

The purpose of this erratum is to correct the proof of Theorem A.0.1 in the appendix to our paper “Hadamard spaces with isolated flats” which was jointly authored by Mohamad Hindawi, Hruska and Kleiner. In that appendix, many of the results of this paper about CAT(0) spaces with isolated flats are extended to a more general setting in which the isolated subspaces are not necessarily flats. However, one step of that extension does not follow from the argument we used the isolated flats setting. We provide a new proof that fills this gap.

In addition, we give a more detailed account of several other parts of Theorem A.0.1, which were sketched in that appendix.

Keywords

isolated flat, asymptotic cone, relative hyperbolicity

Mathematical Subject Classification

Primary: 20F67

Secondary: 20F69

References

Publication

Received: 28 August 2008
Accepted: 4 November 2008
Preview posted: 11 December 2008
Published: 1 January 2009

Authors