Simplicial group models for \(\Omega ^ nS^ nX\)

DOI10.1007/BF02765902zbMath0723.55004OpenAlexW2074138867MaRDI QIDQ756766

Jeffrey Henderson Smith

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf02765902

zbMATH Keywords

Barratt-Eccles groupfree simplicial groups

Mathematics Subject Classification ID

Simplicial sets and complexes in algebraic topology (55U10) Infinite loop spaces (55P47)

Related Items (11)

Multivariable cochain operations and little 𝑛-cubes ⋮ Dyer-Lashof-Cohen operations in Hochschild cohomology. ⋮ Recognizing mapping spaces ⋮ Permutohedral structures on \(E_2\)-operads ⋮ Iterated monoidal categories ⋮ Koszul duality of \(E_{n}\)-operads ⋮ The \(T\)-algebra spectral sequence: comparisons ⋮ Combinatorics of double loop suspensions, evaluation maps and Cohen groups ⋮ Configurations, braids, and homotopy groups ⋮ Opérades cellulaires et espaces de lacets itérés. (Cellular operads and iterated loop spaces.) ⋮ Fibrewise construction applied to Ljusternik-Schnirelman category

Cites Work

• Unnamed Item
• Simplicial localizations of categories
• \(\Gamma^+\)-structures. I: A free group functor for stable homotopy theory
• \(\Gamma^+\)-structures. II: A recognition principle for infinite loop spaces
• \(\Gamma^+\)-structures. III: The stable structure of \(\Omega^\infty\Sigma^\infty A\)
• Iterated loop spaces
• The geometry of iterated loop spaces
• Homotopy limits, completions and localizations
• Reduced product spaces

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