On the growth of homotopy groups

DOI10.1007/BF01172158zbMath0605.55009MaRDI QIDQ1083714

Hans-Werner Henn

Publication date: 1986

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155168

zbMATH Keywords

Poincaré series of homology groupsPoincaré series of homotopy groups

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Homotopy groups of wedges, joins, and simple spaces (55Q20)

Related Items (6)

\(p\)-hyperbolicity of homotopy groups via \(K\)-theory ⋮ Exponential growth of homotopy groups of suspended finite complexes ⋮ Level number sequences of trees and the lambda algebra ⋮ Bounding size of homotopy groups of Spheres ⋮ Coverings, correspondences, and noncommutative geometry ⋮ On the ranks of homotopy groups of a space

Cites Work

• Mod \(p\) retracts of \(G\)-product spaces
• On the homotopy groups of a finite dimensional space
• The Sullivan conjecture on maps from classifying spaces
• A remark on the size of \(\pi_q(S^n)\)
• Correction to The Sullivan conjecture on maps from classifying spaces
• Homotopy limits, completions and localizations
• Loop Spaces of Finite Complexes at Large Primes
• Primary homotopy theory
• The unstable Adams spectral sequence for free iterated loop spaces
• Nice Homology Coalgebras
• A Spectral Sequence for the Homotopy of Nice Spaces

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