Sequential motion planning algorithms in real projective spaces: an approach to their immersion dimension

DOI10.1515/forum-2016-0231zbMath1395.55005OpenAlexW2804648195MaRDI QIDQ1743448

Jesús González, Natalia Cadavid-Aguilar, Adriana Lara, Aldo Guzmán-Sáenz, Darwin Gutiérrez

Publication date: 13 April 2018

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2016-0231

zbMATH Keywords

Euclidean immersionreal projective spacehigher topological complexity

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Kinematics of mechanisms and robots (70B15) Immersions in differential topology (57R42) Artificial intelligence for robotics (68T40)

Related Items (5)

Right-angled Artin groups, polyhedral products and the -generating function ⋮ Higher topological complexities of real Grassmannians and semi-complete real flag manifolds ⋮ Bounds for higher topological complexity of real projective space implied by BP ⋮ Bidirectional sequential motion planning ⋮ On the LS-category and topological complexity of projective product spaces

Cites Work

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• Motion planning in real flag manifolds
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• The second real Johnson-Wilson theory and nonimmersions of \(RP^n\)
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• Topological complexity of motion planning
• Topological complexity of the Klein bottle
• Instabilities of robot motion
• On higher analogs of topological complexity
• The topological complexity and the homotopy cofiber of the diagonal map for non-orientable surfaces
• Projective product spaces
• Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes
• Topological complexity of 𝐻-spaces
• MOTION PLANNING IN SPACES WITH SMALL FUNDAMENTAL GROUPS

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