Ljusternik-Schnirelman category of skeleta

DOI10.1016/S0166-8641(01)00288-7zbMath1011.55004OpenAlexW2033701462MaRDI QIDQ1862096

Stephen Halperin, Jean-Claude Thomas, Yves Félix

Publication date: 10 March 2003

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(01)00288-7

zbMATH Keywords

rational homotopy theoryLjusternik-Schnirelman categoryrational category

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)

LS-category of moment-angle manifolds and higher order Massey products ⋮ Categorical sequences ⋮ Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes ⋮ Topological complexity and the homotopy cofibre of the diagonal map ⋮ On the LS-category and topological complexity of a connected sum ⋮ The product formula for Lusternik-Schnirelmann category ⋮ Maps into homotopy coalgebras ⋮ Monotonicity of the Schwarz genus

Cites Work

• Infinitesimal computations in topology
• On category, in the sense of Lusternik-Schnirelmann
• The Lusternik-Schnirelmann category of certain infinite CW-complexes
• A proof of Ganea's conjecture for rational spaces
• On the Lusternik-Schnirelmann Category of Maps
• A Note on the Category of the Telescope
• Rational L.-S. Category and Its Applications
• Lusternik-Schnirelmann-categorical sections
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