Single Loop Space Decompositions

DOI10.2307/2154489zbMath0767.55008OpenAlexW4251412816MaRDI QIDQ4032484

David J. Anick

Publication date: 1 April 1993

Full work available at URL: https://doi.org/10.2307/2154489

zbMATH Keywords

Moore spacesBockstein spectral sequence\(p\)-local atomic \(H\)-spacesproduct decompositions of loop spaces of finite complexes

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Loop spaces (55P35) Homotopy groups of wedges, joins, and simple spaces (55Q20)

Related Items (10)

Abelian Properties of Anick Spaces ⋮ Modular representations and the homotopy of low rank \(p\)-local \(CW\)-complexes ⋮ Decompositions of certain loop spaces. ⋮ Anick spaces and Kac-Moody groups ⋮ Homotopy decompositions of looped 2-cell co-\(H\) spaces ⋮ The loop space homotopy type of simply-connected four-manifolds and their generalizations ⋮ Homotopy decompositions of looped co-\(H\) spaces of low-rank ⋮ On the Hodge decomposition of differential graded bi-algebras. ⋮ Free and semi-inert cell attachments ⋮ Variation zum Konzept der Lusternik—Schnirelmann—Kategorie

Cites Work

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• On the chain algebra of a loop space
• A loop space whose homology has torsion of all orders
• Genus and cancellation
• Torsion in homotopy groups
• Homologie singulière des espaces fibrés. Applications
• Reduced product spaces
• Loop Spaces of Finite Complexes at Large Primes
• Primary homotopy theory
• Hopf Algebras up to Homotopy
• Split Extensions of Hopf Algebras and Semi-Tensor Products.
• On the Homotopy Groups of the Union of Spheres

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