Topology of Parametrized Motion Planning Algorithms

DOI10.1137/20M1358505zbMath1473.55010arXiv2009.06023OpenAlexW3166636493MaRDI QIDQ5001668

Shmuel Weinberger, Daniel C. Cohen, Michael S. Farber

Publication date: 23 July 2021

Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.06023

zbMATH Keywords

topological roboticsparametrized topological complexityobstacle-avoiding collision-free motion planning

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Control of mechanical systems (70Q05) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Sectioning fiber spaces and bundles in algebraic topology (55S40)

Related Items (8)

Parametrized topological complexity of poset-stratified spaces ⋮ Parametrized topological complexity of sphere bundles ⋮ Different types of topological complexity based on higher homotopic distance ⋮ Formal aspects of parametrized topological complexity and its pointed version ⋮ Sequential parametrized motion planning and its complexity. II ⋮ Sequential parametrized motion planning and its complexity ⋮ Parametrised topological complexity of group epimorphisms ⋮ Parametrized topological complexity of collision-free motion planning in the plane

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• Topological complexity of collision-free multi-tasking motion planning on orientable surfaces
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• Configuration Spaces.

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