The homotopy Lie algebra for finite complexes

DOI10.1007/BF02700466zbMath0504.55005OpenAlexW1999985031WikidataQ115391865 ScholiaQ115391865MaRDI QIDQ1836186

Yves Félix, Stephen Halperin, Jean-Claude Thomas

Publication date: 1982

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1982__56__179_0

zbMATH Keywords

free sub Lie algebra on two homogeneous generatorsLusternik-Schnirelmann category of the localizationrational homotopy Lie algebra of a spacesimply connected CW complexes whose rational homology is finite dimensional in each degree

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) Graded Lie (super)algebras (17B70) Whitehead products and generalizations (55Q15)

Related Items (16)

The ranks of the homotopy groups of a space of finite LS category ⋮ Exponential growth and an asymptotic formula for the ranks of homotopy groups of a finite 1-connected complex ⋮ An asymptotic formula for the ranks of homotopy groups ⋮ Characterisation of polyhedral products with finite generalised Postnikov decomposition ⋮ The growth rate of symplectic homology and affine varieties ⋮ Estimating the rational LS-category of elliptic spaces ⋮ Compact Kähler manifolds with elliptic homotopy type ⋮ Elliptic spaces ⋮ Graded Lie algebras of depth one ⋮ Intrinsic Formality and Certain Types of Algebras ⋮ Homotopie rationnelle et croissance du nombre de géodésiques fermées ⋮ Homotopie rationnelle et croissance du nombre de géodésiques fermées ⋮ Contributions of rational homotopy theory to global problems in geometry ⋮ Exponential growth of Lie algebras of finite global dimension ⋮ Commutative rings, algebraic topology, graded Lie algebras and the work of Jan-Erik Roos ⋮ Gorenstein space with nonzero evaluation map

Cites Work

• Sur les invariants d'homotopie rationnelle lies à la L.S. categorie
• Algèbres connexes et homologie des espaces de lacets
• Infinitesimal computations in topology
• Rational homotopy theory
• Lusternik-Schnirelmann Category and Cocategory
• Free Lie Subalgebras of the Cohomology of Local Rings
• Sullivan's Minimal Models and Higher Order Whitehead Products
• Modeles Bifiltres: Une Plaque Tournante en Homotopie Rationnelle
• On 𝑃𝐿 de Rham theory and rational homotopy type
• Finiteness in the Minimal Models of Sullivan
• Rational L.-S. Category and Its Applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The homotopy Lie algebra for finite complexes