Bidirectional sequential motion planning

DOI10.1007/s40590-021-00319-1zbMath1464.55008arXiv1909.05924OpenAlexW3131514342MaRDI QIDQ2024058

Enrique Torres-Giese

Publication date: 3 May 2021

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.05924

zbMATH Keywords

motion planning problembidirectional topological complexitysymmetrized topological complexity

Mathematics Subject Classification ID

Equivariant fiber spaces and bundles in algebraic topology (55R91) Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Equivariant homotopy theory in algebraic topology (55P91) Artificial intelligence for robotics (68T40) Symmetric products and cyclic products in algebraic topology (55S15) Sectioning fiber spaces and bundles in algebraic topology (55S40)

Cites Work

• Higher topological complexity and its symmetrization
• Invitation to topological robotics
• Transformation groups and representation theory
• Sequential motion planning algorithms in real projective spaces: an approach to their immersion dimension
• A G-Lusternik-Schnirelmann category of space with an action of a compact Lie group
• Equivariant topological complexity
• On higher analogs of topological complexity
• Motion planning in connected sums of real projective spaces
• Symmetrized topological complexity
• Symmetric Bi-Skew Maps and Symmetrized Motion Planning in Projective Spaces
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