Sequential motion planning of non-colliding particles in Euclidean spaces

DOI10.1090/proc/12443zbMath1325.55008arXiv1309.4346OpenAlexW1820844769MaRDI QIDQ2944802

Jesús González, Mark Grant

Publication date: 8 September 2015

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

Full work available at URL: https://arxiv.org/abs/1309.4346

zbMATH Keywords

sectional categoryconfiguration spacesmoving obstaclesrobot motion planninghigher topological complexity

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Artificial intelligence for robotics (68T40) Sectioning fiber spaces and bundles in algebraic topology (55S40)

Related Items (12)

On Lusternik-Schnirelmann category and topological complexity of non-\(k\)-equal manifolds ⋮ The higher topological complexity of complement of fiber type arrangement ⋮ Topological complexity of classical configuration spaces and related objects ⋮ Topological complexity of collision-free multi-tasking motion planning on orientable surfaces ⋮ Topological complexity of subgroups of Artin’s braid groups ⋮ Higher Topological Complexity of Artin Type Groups ⋮ SEQUENTIAL COLLISION-FREE OPTIMAL MOTION PLANNING ALGORITHMS IN PUNCTURED EUCLIDEAN SPACES ⋮ Higher topological complexity of aspherical spaces ⋮ Motion planning algorithms for configuration spaces ⋮ Multitasking collision-free optimal motion planning algorithms in Euclidean spaces ⋮ CATEGORY AND TOPOLOGICAL COMPLEXITY OF THE CONFIGURATION SPACE ⋮ Sequential parametrized motion planning and its complexity

Cites Work

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• Spaces of topological complexity one
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• Deformations of spaces of imbeddings
• Topological complexity of configuration spaces
• On the category of Euclidean configuration spaces and associated fibrations

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