Higher topological complexity of aspherical spaces

DOI10.1016/j.topol.2019.02.055zbMath1412.55003arXiv1902.10696OpenAlexW2963856991WikidataQ128268280 ScholiaQ128268280MaRDI QIDQ1738933

Michael S. Farber, John F. Oprea

Publication date: 24 April 2019

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

Full work available at URL: https://arxiv.org/abs/1902.10696

zbMATH Keywords

topological complexityLusternik-Schnirelmann categoryhigher topological complexity

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30)

Related Items (8)

The topological complexity of pure graph braid groups is stably maximal ⋮ Right-angled Artin groups, polyhedral products and the -generating function ⋮ An upper bound for higher topological complexity and higher strongly equivariant complexity ⋮ Generating functions and topological complexity ⋮ On the growth of topological complexity ⋮ Higher topological complexity of hyperbolic groups ⋮ Bredon cohomology and robot motion planning ⋮ Sequential parametrized motion planning and its complexity

Cites Work

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• Higher topological complexity of subcomplexes of products of spheres and related polyhedral product spaces
• Higher topological complexity and its symmetrization
• On the Lusternik-Schnirelmann category of abstract groups
• Invitation to topological robotics
• Transformation groups
• Topological complexity of motion planning
• An upper bound for topological complexity
• On higher analogs of topological complexity
• Bredon cohomology and robot motion planning
• New lower bounds for the topological complexity of aspherical spaces
• A mapping theorem for topological complexity
• Equivariant cohomology theories
• An introduction to right-angled Artin groups.
• Sequential motion planning of non-colliding particles in Euclidean spaces
• On Spaces Having the Homotopy Type of a CW-Complex
• Higher Topological Complexity of Artin Type Groups
• CONFIGURATION SPACES AND ROBOT MOTION PLANNING ALGORITHMS
• The genus of a fiber space

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