Erratum to 'Hadamard spaces with isolated flats'

摘要

The purpose of this erratum is to correct the proof of Theorem A.0.1 in the appendix to [4], which was jointly authored by Mohamad Hindawi, Hruska and Kleiner. In that appendix, many of the results of [4] 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 [4].