Groups acting on  cube complexes.

Niblo, Graham; Reeves, Lawrence

Displaying similar documents to “Groups acting on $CAT (0)$ cube complexes.”

On the $CAT (0)$ dimension of 2-dimensional Bestvina-Brady groups.

Crisp, John (2002)

Algebraic & Geometric Topology

Similarity:

Foldable cubical complexes of nonpositive curvature.

Xie, Xiangdong (2004)

Algebraic & Geometric Topology

Similarity:

Simplicial nonpositive curvature

Tadeusz Januszkiewicz, Jacek Świątkowski (2006)

Publications Mathématiques de l'IHÉS

Similarity:

We introduce a family of conditions on a simplicial complex that we call local -largeness (≥6 is an integer). They are simply stated, combinatorial and easily checkable. One of our themes is that local 6-largeness is a good analogue of the non-positive curvature: locally 6-large spaces have many properties similar to non-positively curved ones. However, local 6-largeness neither implies nor is implied by non-positive curvature of the standard metric. One can think of these results as...