Homotopy Operations for Simplicial Commutative Algebras

DOI10.2307/1998012zbMath0464.55008OpenAlexW4235705782MaRDI QIDQ3915654

William G. Dwyer

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/1998012

zbMATH Keywords

transfersymmetric powersAdem relationscommutative simplicial algebra over the integers modulo 2divided powers of Cartanhomology of Eilenberg-MacLane spacesproducts of Eilenberg-MacLane spacesshuffle maps of Eilenberg-MacLane

Mathematics Subject Classification ID

Simplicial sets and complexes in algebraic topology (55U10) Eilenberg-Mac Lane spaces (55P20) Operations in homotopy groups (55Q35)

Related Items (12)

Formal groups and stable homotopy of commutative rings ⋮ Higher Divided Squares in Second-Quadrant Spectral Sequences ⋮ Odd Primary Steenrod Operations in First-Quadrant Spectral Sequences ⋮ André-Quillen cohomology and the homotopy groups of mapping spaces: Understanding the \(E_ 2\)-term of the Bousfield-Kan spectral sequence ⋮ The Sullivan conjecture ⋮ Relations Among Homotopy Operations for Simplicial Commutative Algebras ⋮ On the rigidity of the cotangent complex at the prime 2 ⋮ An alternative approach to homotopy operations ⋮ Equivalences of monoidal model categories ⋮ On the homotopy of simplicial algebras over an operad ⋮ Relations in the homotopy of simplicial abelian Hopf algebras ⋮ Homotopy theory of simplicial abelian Hopf algebras

Cites Work

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• Über die Steenrodschen Kohomologieoperationen
• Homotopical algebra
• Rational homotopy theory
• The transfer and stable homotopy theory
• On the Homotopy Theory of Simplicial Lie Algebra
• Homology

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