The functor \(A^{\min}\) on \(p\)-local spaces

DOI10.1007/s00209-005-0909-3zbMath1107.55005OpenAlexW2008815328MaRDI QIDQ851002

P. S. Selick, Jie Wu

Publication date: 9 November 2006

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-005-0909-3

zbMATH Keywords

suspensionHopf algebratensor productloop spaceJames-Hopf mapJames construction\(p\)-local spaceproduct decomposition

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Loop spaces (55P35) Suspensions (55P40)

Related Items (15)

\(p\)-hyperbolicity of homotopy groups via \(K\)-theory ⋮ Homotopy exponents of Stiefel manifolds in the stable range ⋮ Decomposition of loop spaces and periodic problem on \(\pi_{\ast}\) ⋮ The functor \(A^{\text{min}}\) for \((p-1)\)-cell complexes and EHP sequences ⋮ Exponential growth of homotopy groups of suspended finite complexes ⋮ Functorial homotopy decompositions of looped co-\(H\) spaces ⋮ Modular representations and the homotopy of low rank \(p\)-local \(CW\)-complexes ⋮ Rank \(p - 1\) mod-\(p\) \(H\)-spaces ⋮ Homotopy decompositions of looped 2-cell co-\(H\) spaces ⋮ A combinatorial approach to the exponents of Moore spaces ⋮ Module structure on Lie powers and natural coalgebra-split sub-Hopf algebras of tensor algebras ⋮ The decomposition of the loop space of the mod 2 Moore space ⋮ Decompositions of looped co-𝐻-spaces ⋮ Homotopy decompositions of looped co-\(H\) spaces of low-rank ⋮ Cancellation and homotopy rigidity of classical functors

Cites Work

• A combinatorial definition of homotopy groups
• Torsion in homotopy groups
• On combinatorial calculations for the James-Hopf maps
• On functorial decompositions of self-smash products
• The mod-\(p\) lower central series and the Adams spectral sequence
• On the structure of Hopf algebras
• On c.s.s. Complexes
• The unstable Adams spectral sequence for free iterated loop spaces
• On natural coalgebra decompositions of tensor algebras and loop suspensions
• Simplicial homotopy theory
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