An asymptotic formula for the ranks of homotopy groups

DOI10.1016/J.TOPOL.2006.03.004zbMath1105.55009OpenAlexW2079536353MaRDI QIDQ860476

Stephen Halperin, Jean-Claude Thomas, Yves Félix

Publication date: 9 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.topol.2006.03.004

zbMATH Keywords

exponential growthhomotopy Lie algebragraded Lie algebra

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Loop spaces (55P35) Graded Lie (super)algebras (17B70) Homotopy groups (55Q99)

Related Items (2)

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

Cites Work

• Unnamed Item
• On the chain algebra of a loop space
• Analytic properties of Poincaré series of spaces
• Growth and Lie brackets in the homotopy Lie algebra
• The homotopy Lie algebra for finite complexes
• Graded Lie algebras with finite polydepth
• The Radical of the Homotopy Lie Algebra
• Elliptic Hopf Algebras

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