Some asymptotic formulae for torsion in homotopy groups

DOI10.4153/S0008414X2300041XMaRDI QIDQ6622788

Guy Boyde, Ruizhi Huang

Publication date: 22 October 2024

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

torsionhyperbolicityunstablehomotopy growth

Mathematics Subject Classification ID

Homotopy groups of special spaces (55Q52) Suspensions (55P40) Whitehead products and generalizations (55Q15)

Cites Work

• On the ranks of homotopy groups of a space
• On the growth of homotopy groups
• Analytical properties of Poincaré series of a loop space
• Torsion in homotopy groups
• Analytic properties of Poincaré series of spaces
• \(p\)-hyperbolicity of homotopy groups via \(K\)-theory
• Exponential growth of homotopy groups of suspended finite complexes
• Exponential growth and an asymptotic formula for the ranks of homotopy groups of a finite 1-connected complex
• On conjectures of Moore and Serre in the case of torsion-free suspensions
• K-THEORY AND THE HOPF INVARIANT
• On the Homotopy Groups of the Union of Spheres

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