Homotopy commutativity, homotopy associativity and power spaces

DOI10.1016/S0022-4049(97)00145-XzbMath0926.57036MaRDI QIDQ1295678

James P. Lin

Publication date: 22 November 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Lie groupEilenberg-MacLane spaceHopf algebraSteenrod algebraloop spacepower mapPostnikov systemcohomology operationMilnor construction\(p\)-localizationCotor constructionfinite \(\text{mod }p\) \(H\)-spacepower \(H\)-spaceStasheff-Sugawara construction

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Localization and completion in homotopy theory (55P60) Loop spaces (55P35) Postnikov systems, (k)-invariants (55S45) Secondary and higher cohomology operations in algebraic topology (55S20) Homology and cohomology of (H)-spaces (57T25) Homology of a product, Künneth formula (55U25)

Related Items (1)

Homotopy commutativity of $H$-spaces with finitely generated cohomology

Cites Work

• Higher homotopy commutativity of H-spaces and the mod p torus theorem
• Some relations in the mod 3 cohomology of H-spaces
• Mod \(p\) retracts of \(G\)-product spaces
• Construction of universal bundles. II
• The kernel of the loop suspension map
• Homotopy commutativity of finite loop spaces
• Higher forms of homotopy commutativity and finite loop spaces
• Homotopy commutative H-spaces
• Implications in the cohomology of H-spaces
• Differentials in the Eilenberg-Moore spectral sequence
• Homotopy Commutativity in Localized Groups
• The factorization of cyclic reduced powers by secondary cohomology operations
• Homotopy Associativity of H-Spaces. I
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