The sectional category of spherical fibrations

DOI10.1090/S0002-9939-00-05468-XzbMath0951.55015OpenAlexW2011071679MaRDI QIDQ4501108

Donald Stanley

Publication date: 3 September 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05468-x

zbMATH Keywords

rational homotopy theoryLyusternik-Shnirel'man categorySullivan modelspherical fibrationrational space

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Rational homotopy theory (55P62) Fiber spaces in algebraic topology (55R05)

Related Items (4)

Rational methods applied to sectional category and topological complexity ⋮ Joins of DGA modules and sectional category ⋮ Rational approximations of sectional category and Poincaré duality ⋮ The rational sectional category of certain universal fibrations

Cites Work

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• Homotopie rationelle: modèles de Chen, Quillen, Sullivan
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• LS-category of classifying spaces. II
• A proof of Ganea's conjecture for rational spaces
• On Spaces Having the Homotopy Type of a CW-Complex
• Lectures on minimal models
• Rational L.-S. Category and Its Applications
• On Semisimplicial Fibre-Bundles

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