Lusternik-Schnirelmann-categorical sections

DOI10.24033/asens.1730zbMath0858.55007OpenAlexW2480470387MaRDI QIDQ4886676

Octavian Cornea

Publication date: 25 March 1997

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1995_4_28_6_689_0

zbMATH Keywords

Lyusternik-Shnirel'man categorylocalizationsGanea spaces

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Localization and completion in homotopy theory (55P60)

Related Items (7)

\(A_{n}\) theory, L.S. category, and strong category ⋮ Inductive LS cocategory and localisation ⋮ The product formula for Lusternik-Schnirelmann category ⋮ Maps into homotopy coalgebras ⋮ Monotonicity of the Schwarz genus ⋮ Ljusternik-Schnirelman category of skeleta ⋮ Catégorie de Lusternik-Schnirelmann et genre des $H\textunderscore 0$-espaces

Cites Work

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• Construction of universal bundles. II
• On category, in the sense of Lusternik-Schnirelmann
• Cone-length and Lusternik-Schnirelmann category
• Strong LS category equals cone-length
• Lusternik-Schnirelmann category and strong category
• On the category of the double mapping cylinder
• Homotopy limits, completions and localizations
• Category and generalized Hopf invariants
• Pull-Backs in Homotopy Theory
• There is Just One Rational Cone-Length

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