A classification theorem for homotopy commutative 𝐻-spaces with finitely generated mod 2 cohomology rings

DOI10.1090/memo/0449zbMath0755.55003OpenAlexW4249009513MaRDI QIDQ3978697

Michael Slack

Publication date: 25 June 1992

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0449

zbMATH Keywords

Steenrod algebraDyer-Lashof operationsmod 2 cohomologyladder Toda bracketssecondary operationshomotopy commutative \(H\)-space

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Localization and completion in homotopy theory (55P60) Obstruction theory in algebraic topology (55S35) Infinite loop spaces (55P47) Dyer-Lashof operations (55S12) Secondary and higher cohomology operations in algebraic topology (55S20)

Related Items (6)

Loops of \(H\)-spaces with finitely generated cohomology rings ⋮ Higher homotopy commutativity of 𝐻-spaces and the permuto-associahedra ⋮ Deconstructing Hopf spaces ⋮ Homotopy commutativity of $H$-spaces with finitely generated cohomology ⋮ On the cohomology of mod \(p\) homotopy commutative H-spaces ⋮ Maps between iterated loop spaces

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