On the rational topological complexity of coformal elliptic spaces

DOI10.1016/j.jpaa.2023.107318OpenAlexW4315477583MaRDI QIDQ2690450

Yanyan Li

Publication date: 17 March 2023

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.00839

zbMATH Keywords

elliptic spacesrational topological complexity

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Rational homotopy theory (55P62)

Cites Work

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• Non-formal homogeneous spaces
• Rational topological complexity
• Computations in rational sectional category
• The Ganea conjecture for rational approximations of sectional category
• L-S category and homogeneous spaces
• Invitation to topological robotics
• Topological complexity of motion planning
• Explicit formulae for the rational L-S category of some homogeneous spaces
• A formula for the rational LS-category of certain spaces
• Joins of DGA modules and sectional category
• Rational approximations of sectional category and Poincaré duality
• Rational methods applied to sectional category and topological complexity
• Rational L.-S. Category and Its Applications
• The rational sectional category of certain maps
• The fundamental class of a rational space, the graph coloring problem and other classical decision problems

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