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Parametrized topological complexity of sphere bundles

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Publication:6044505
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DOI10.12775/tmna.2022.049zbMath1517.55001arXiv2202.05796OpenAlexW4322495815MaRDI QIDQ6044505

Michael S. Farber, Shmuel Weinberger

Publication date: 19 May 2023

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.05796


zbMATH Keywords

characteristic classestopological complexitymotion planning algorithmrobot motion planning


Mathematics Subject Classification ID

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




Cites Work

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  • Invitation to topological robotics
  • Topological complexity of motion planning
  • Parametrized topological complexity of collision-free motion planning in the plane
  • A note on covers defining relative and sectional categories
  • Partitions of unity in the theory of fibrations
  • Reduced product spaces
  • Characteristic Classes. (AM-76)
  • Topology of Parametrized Motion Planning Algorithms
  • Planning Algorithms
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