On the dimension of Z-sets
Geometric Topology
2013-07-16 v1
Abstract
We offer a short and elementary proof that, for a Z-set A in a finite-dimensional ANR Y, dimA<dimY. This result is relevant to the study of group boundaries. The original proof by Bestvina and Mess relied on cohomological dimension theory.
Cite
@article{arxiv.1307.3663,
title = {On the dimension of Z-sets},
author = {Craig R. Guilbault and Carrie J. Tirel},
journal= {arXiv preprint arXiv:1307.3663},
year = {2013}
}
Comments
4 pages, no figures