54 citations · 253 across the 34 of their papers we have counts for
Showing 2013 · math.GRShow all
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math.GR2013
Combinatorial negative curvature and triangulations of three-manifolds
Damian Osajda
We introduce and study local combinatorial conditions on a simplicial complex, implying Gromov hyperbolicity of its universal cover. We apply the theory to Thurston's problem on 5/…
math.GR2013★ 15 cited
A combinatorial non-positive curvature I: weak systolicity
Damian Osajda
We introduce the notion of weakly systolic complexes and groups, and initiate regular studies of them. Those are simplicial complexes with nonpositive-curvature-like properties and…
math.GR2013★ 13 cited
On asymptotically hereditarily aspherical groups
Damian Osajda, Jacek Swiatkowski
We undertake a systematic study of asymptotically hereditarily aspherical (AHA) groups - the class of groups introduced by Tadeusz Januszkiewicz and the second author as a tool for…