English

Full Subcomplexes of CAT(0) Simplicial Complexes

Geometric Topology 2011-09-19 v1

Abstract

In this article, I prove that full subcomplexes of CAT(0) simplicial 3-complexes inherit the non positive curvature condition, and describe a family of counterexamples that prove this result can not be extended to higher dimensions.

Cite

@article{arxiv.1109.3502,
  title  = {Full Subcomplexes of CAT(0) Simplicial Complexes},
  author = {Rena M. H. Levitt},
  journal= {arXiv preprint arXiv:1109.3502},
  year   = {2011}
}

Comments

11 pages, 7 figures

R2 v1 2026-06-21T19:05:40.118Z