Rational topological complexity

DOI10.2140/agt.2012.12.1789zbMath1256.55001OpenAlexW1970072809MaRDI QIDQ691526

Paul-Eugène Parent, Barry Jessup, Aniceto Murillo-Mas

Publication date: 3 December 2012

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/agt.2012.12.1789

zbMATH Keywords

motion planningSullivan modelTopological complexityrational spaces

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)

Related Items (8)

The Ganea conjecture for rational approximations of sectional category ⋮ On the rational topological complexity of coformal elliptic spaces ⋮ Rational methods applied to sectional category and topological complexity ⋮ On the growth of topological complexity ⋮ Relative category and monoidal topological complexity ⋮ Rational approximations of sectional category and Poincaré duality ⋮ Topological complexity of the work map ⋮ A mapping theorem for topological complexity

Cites Work

• On the topology of algorithms. I
• The rational Lusternik-Schnirelmann category of products and of Poincaré duality complexes
• Topological complexity of motion planning
• Complexity in rational homotopy
• Joins of DGA modules and sectional category
• A proof of Ganea's conjecture for rational spaces
• Rational Approximations to L-S Category and a Conjecture of Ganea
• Rational homotopy of the polyhedral product functor
• Ganea's Conjecture on Lusternik-Schnirelmann Category
• Rational L.-S. Category and Its Applications
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