Topological complexity of collision-free multi-tasking motion planning on orientable surfaces

DOI10.1090/conm/702/14102zbMath1390.55005arXiv1607.07667OpenAlexW2964337632MaRDI QIDQ4608468

Jesús González, Bárbara Gutiérrez

Publication date: 16 March 2018

Published in: Topological Complexity and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.07667

zbMATH Keywords

sectional categoryconfiguration spacemotion planningorientable surfaceTotaro spectral sequence

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Kinematics of mechanisms and robots (70B15) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Spectral sequences in algebraic topology (55T99) Artificial intelligence for robotics (68T40)

Related Items (3)

Topological complexity of classical configuration spaces and related objects ⋮ Topological complexity of graphic arrangements ⋮ Topology of Parametrized Motion Planning Algorithms

Cites Work

• Motion planning in real flag manifolds
• Higher topological complexity and its symmetrization
• Invitation to topological robotics
• Configuration spaces of algebraic varieties
• On higher analogs of topological complexity
• Sequential motion planning of non-colliding particles in Euclidean spaces
• Topological complexity of collision-free motion planning on surfaces
• Topological complexity of 𝐻-spaces
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