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

DOI10.4007/annals.2009.170.443zbMath1197.55006OpenAlexW1996458868MaRDI QIDQ2389221

Stephen Halperin, Yves Félix, Jean-Claude Thomas

Publication date: 15 July 2009

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: http://annals.math.princeton.edu/annals/2009/170-1/p13.xhtml

zbMATH Keywords

finite simply connected complexesrank of homotopy groups

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Homotopy groups, general; sets of homotopy classes (55Q05)

Related Items (2)

Exponential growth of homotopy groups of suspended finite complexes ⋮ The ranks of the homotopy groups of odd degree of a finite complex

Cites Work

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• The Radical of the Homotopy Lie Algebra
• Lie Algebras of Polynomial Growth
• Rational L.-S. Category and Its Applications
• Homologie et cohomologie des algèbres de Lie

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