Topological complexity and motion planning in certain real Grassmannians.

DOI10.1016/S0893-9659(04)90117-6zbMath1059.55002OpenAlexW2044207147MaRDI QIDQ1764546

Tan Zhang, Kelly Jeanne Pearson

Publication date: 25 February 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(04)90117-6

zbMATH Keywords

motion planningtopological complexityLusternik-Schnirelmann category

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Kinematics of mechanisms and robots (70B15) Artificial intelligence for robotics (68T40)

Related Items (3)

Higher topological complexities of real Grassmannians and semi-complete real flag manifolds ⋮ Unnamed Item ⋮ Topological complexity of real Grassmannians

Cites Work

• Unnamed Item
• Cup products in Grassmannians
• On category, in the sense of Lusternik-Schnirelmann
• Topological complexity of motion planning
• Instabilities of robot motion
• On the Cohomology of Real Grassmanians
• The genus of a fiber space

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