Natural maps between CAT(0) boundaries
Metric Geometry
2013-01-31 v2
Abstract
It is shown that certain natural maps between the ideal, Gromov, and end boundaries of a complete CAT(0) space can fail to be either injective or surjective. Additionally the natural map from the Gromov boundary to the end boundary of a complete CAT(-1) space can fail to be either injective or surjective.
Cite
@article{arxiv.1210.4812,
title = {Natural maps between CAT(0) boundaries},
author = {Stephen M. Buckley and Kurt Falk},
journal= {arXiv preprint arXiv:1210.4812},
year = {2013}
}
Comments
8 pages