On topological complexity of hyperbolic groups

DOI10.1090/proc/15094zbMath1447.55002arXiv1904.06720OpenAlexW3012070796MaRDI QIDQ5117349

Alexander N. Dranishnikov

Publication date: 20 August 2020

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

Full work available at URL: https://arxiv.org/abs/1904.06720

zbMATH Keywords

hyperbolic groupstopological complexity

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (10)

On the topological complexity of manifolds with abelian fundamental group ⋮ On the topological complexity of maps ⋮ Amenable category and complexity ⋮ On dimension of product of groups ⋮ On the sectional category of subgroup inclusions and Adamson cohomology theory ⋮ Higher topological complexity of hyperbolic groups ⋮ Sequential parametrized motion planning and its complexity ⋮ Parametrised topological complexity of group epimorphisms ⋮ Parametrized topological complexity of collision-free motion planning in the plane ⋮ On the topological complexity of toral relatively hyperbolic groups

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• The topological complexity and the homotopy cofiber of the diagonal map for non-orientable surfaces
• Motion planning in tori
• On the topological complexity of aspherical spaces
• On dimension of product of groups

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