Bredon cohomology and robot motion planning

DOI10.2140/agt.2019.19.2023zbMath1471.55003arXiv1711.10132OpenAlexW2768681686WikidataQ127371943 ScholiaQ127371943MaRDI QIDQ2330954

Gregory Lupton, Mark Grant, John F. Oprea, Michael S. Farber

Publication date: 23 October 2019

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.10132

zbMATH Keywords

topological complexityBredon cohomologyaspherical spaces

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Topological methods in group theory (57M07)

Related Items (15)

Right-angled Artin groups, polyhedral products and the -generating function ⋮ Amenable category and complexity ⋮ An upper bound for higher topological complexity and higher strongly equivariant complexity ⋮ \(m\)-homotopic distance ⋮ Amenable covers of right‐angled Artin groups ⋮ On topological complexity of hyperbolic groups ⋮ An upper bound for topological complexity ⋮ Oriented robot motion planning in Riemannian manifolds ⋮ Higher topological complexity of aspherical spaces ⋮ On the topological complexity of Grassmann manifolds ⋮ On the sectional category of subgroup inclusions and Adamson cohomology theory ⋮ Higher topological complexity of hyperbolic groups ⋮ Parametrised topological complexity of group epimorphisms ⋮ Equivariant dimensions of groups with operators ⋮ On the topological complexity of toral relatively hyperbolic groups

Cites Work

• Unnamed Item
• Spaces of topological complexity one
• Topological complexity, fibrations and symmetry
• On the Lusternik-Schnirelmann category of abstract groups
• Invitation to topological robotics
• Transformation groups and algebraic \(K\)-theory
• Topological complexity of motion planning
• Topological complexity of the Klein bottle
• An upper bound for topological complexity
• Higher topological complexity of aspherical spaces
• New lower bounds for the topological complexity of aspherical spaces
• A mapping theorem for topological complexity
• Equivariant cohomology theories
• On topological complexity of Eilenberg-MacLane spaces
• The topological complexity and the homotopy cofiber of the diagonal map for non-orientable surfaces
• On Spaces Having the Homotopy Type of a CW-Complex
• Motion planning in tori
• On the Berstein–Svarc theorem in dimension 2
• Topological complexity of subgroups of Artin’s braid groups
• CONFIGURATION SPACES AND ROBOT MOTION PLANNING ALGORITHMS
• MOTION PLANNING IN SPACES WITH SMALL FUNDAMENTAL GROUPS

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