A formula for the rational LS-category of certain spaces

DOI10.5802/aif.1926zbMath1011.55002OpenAlexW2320049609MaRDI QIDQ1863988

Luis Lechuga, Aniceto Murillo-Mas

Publication date: 12 March 2003

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2002__52_5_1585_0

zbMATH Keywords

rational homotopy theoryLjusternik-Schnirelman categoryToomer invariant

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 (3)

A new lower bound for LS-category ⋮ On the rational topological complexity of coformal elliptic spaces ⋮ Gaps in the Milnor-Moore spectral sequence and the Hilali conjecture

Cites Work

• L-S category and homogeneous spaces
• The top cohomology class of certain spaces
• The rational Lusternik-Schnirelmann category of products and of Poincaré duality complexes
• Explicit formulae for the rational L-S category of some homogeneous spaces
• Estimating the rational LS-category of elliptic spaces
• Rational L.-S. Category and Its Applications
• The fundamental class of a rational space, the graph coloring problem and other classical decision problems
• Unnamed Item
• Unnamed Item

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