Square complexes and simplicial nonpositive curvature

DOI10.1090/S0002-9939-2013-11568-6zbMath1286.20050arXiv1107.4182MaRDI QIDQ2845448

Piotr Przytycki, Tomasz Elsner

Publication date: 30 August 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.4182

zbMATH Keywords

simplicial complexesfundamental groupssystolic groupsCAT(0) square complexesnonpositively curved square complexes

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Simplicial sets and complexes in algebraic topology (55U10)

Related Items (3)

Systolic complexes and group presentations ⋮ Quadric complexes ⋮ Systolizing buildings

Cites Work

• Simplicial nonpositive curvature
• Flats and the flat torus theorem in systolic spaces.
• A flat plane that is not the limit of periodic flat planes.
• Filling invariants of systolic complexes and groups.
• Complete square complexes.
• Lattices in product of trees

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