On Lusternik-Schnirelmann category and topological complexity of non-\(k\)-equal manifolds

DOI10.1007/S40062-022-00304-ZzbMath1505.55006arXiv2007.08704OpenAlexW4224801733MaRDI QIDQ2139566

Yanyan Li

Publication date: 18 May 2022

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.08704

zbMATH Keywords

obstruction theoryhigher topological complexitydiagonal subspace arrangementsnon-\(k\)-equal manifolds

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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• Homotopy groups of diagonal complements
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• Linear motion planning with controlled collisions and pure planar braids
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• Sequential motion planning of non-colliding particles in Euclidean spaces
• Topological complexity of configuration spaces
• On the category of Euclidean configuration spaces and associated fibrations
• Homology of non-\(k\)-overlapping discs

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