New lower bounds for the topological complexity of aspherical spaces

DOI10.1016/j.topol.2015.04.005zbMath1317.55003arXiv1309.4192OpenAlexW2076054575MaRDI QIDQ2344327

Mark Grant, Gregory Lupton, John F. Oprea

Publication date: 13 May 2015

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4192

zbMATH Keywords

cohomological dimensioninfinite groupstopological complexityLusternik-Schnirelmann categorytopological roboticsaspherical spaces

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Cohomology of groups (20J06) Eilenberg-Mac Lane spaces (55P20) Artificial intelligence for robotics (68T40) Classical topics in algebraic topology (55M99)

Related Items (10)

Right-angled Artin groups, polyhedral products and the -generating function ⋮ On the topological complexity of aspherical spaces ⋮ Topological complexity of classical configuration spaces and related objects ⋮ Topological complexity of subgroups of Artin’s braid groups ⋮ Higher topological complexity of aspherical spaces ⋮ The topological complexity and the homotopy cofiber of the diagonal map for non-orientable surfaces ⋮ Topological complexity of unordered configuration spaces of surfaces ⋮ Bredon cohomology and robot motion planning ⋮ Parametrised topological complexity of group epimorphisms ⋮ A mapping theorem for topological complexity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Fox's \(m\)-dimensional category and theorems of Bochner type
• On the Lusternik-Schnirelmann category of abstract groups
• Topological complexity of basis-conjugating automorphism groups.
• The cohomology ring of the colored braid group
• Topological complexity of motion planning
• Instabilities of robot motion
• Groups with homological duality generalizing Poincaré duality
• A mapping theorem for topological complexity
• On torsion-free groups with infinitely many ends
• Theory of braids
• Topological complexity of wedges and covering maps
• Motion planning in tori
• Cohomology rings of almost-direct products of free groups
• Topological complexity of motion planning and Massey products
• Some small aspherical spaces
• A Finitely Generated Infinite Simple Group
• Groups of cohomological dimension one

This page was built for publication: New lower bounds for the topological complexity of aspherical spaces