Full Subcomplexes of CAT(0) Simplicial Complexes

Details Full Subcomplexes of CAT(0) Simplicial Complexes Full Subcomplexes of CAT(0) Simplicial Complexes

2011-09-15

arxiv.org/abs/1109.3502v1

Mathematics

Geometric Topology

11 pages, 7 figures

Scientific paper

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.

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