The ranks of the homotopy groups of a space of finite LS category

DOI10.1016/j.exmath.2006.04.002zbMath1125.55005OpenAlexW2051612568MaRDI QIDQ2371315

Jean-Claude Thomas, Stephen Halperin, Yves Félix

Publication date: 4 July 2007

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2006.04.002

zbMATH Keywords

hyperbolic spaceexponential growthhomotopy Lie algebraLS category

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Homotopy groups, general; sets of homotopy classes (55Q05) Graded Lie (super)algebras (17B70) Whitehead products and generalizations (55Q15)

Related Items (1)

Exponential growth and an asymptotic formula for the ranks of homotopy groups of a finite 1-connected complex

Cites Work

• On the chain algebra of a loop space
• An asymptotic formula for the ranks of homotopy groups
• Non-commutative graded algebras and their Hilbert series
• An arithmetic characterization of the rational homotopy groups of certain spaces
• Loop space homology of spaces of LS category one and two
• Analytic properties of Poincaré series of spaces
• Elliptic spaces. II
• Growth and Lie brackets in the homotopy Lie algebra
• The homotopy Lie algebra for finite complexes
• Exponential growth of Lie algebras of finite global dimension
• The Radical of the Homotopy Lie Algebra
• Suites inertes dans les algèbres de Lie grasuées. ("Autopsie d'un meurtre II").
• Topological Localization, Category and Cocategory
• Finiteness in the Minimal Models of Sullivan
• The fibre of a cell attachment

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