The collapsibility of some CAT(0) simplicial complexes of dimension 3
Group Theory
2015-08-18 v1 Metric Geometry
Abstract
We study the collapsibility of finite simplicial complexes of dimension 3 endowed with a CAT(0) metric. Our main result states that, under an additional hypothesis, finite simplicial 3-complexes endowed with a CAT(0) metric collapse to a point through CAT(0) subspaces.
Keywords
Cite
@article{arxiv.1508.03979,
title = {The collapsibility of some CAT(0) simplicial complexes of dimension 3},
author = {Ioana-Claudia Lazar},
journal= {arXiv preprint arXiv:1508.03979},
year = {2015}
}
Comments
29 pages, 20 figures