The collapsibility of some CAT(0) simplicial complexes of dimension 3

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.

arXiv comment29 pages, 20 figures

References in corpus (1)

• A note on the combinatorial structure of finite and locally finite simplicial complexes of nonpositive curvature