Higher forms of homotopy commutativity and finite loop spaces

DOI10.1007/BF01214901zbMath0682.55006OpenAlexW2086008991MaRDI QIDQ1824241

C. A. McGibbon

Publication date: 1989

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174058

zbMATH Keywords

classifying spaceloop spacecoherent homotopies\(A_ p\)-map\(A_{\infty }\) structure\(C^ n\)-spacehomotopy commutative finite H-spacesK-theory of p-th projective spacep-local finite loop spacestrongly homotopy commutative

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Loop spaces (55P35)

Related Items (10)

Generalized Whitehead spaces with few cells ⋮ Homotopy commutative obstructions for liftings ⋮ Loops of \(H\)-spaces with finitely generated cohomology rings ⋮ Homotopy nilpotency in \(p\)-regular loop spaces ⋮ Higher homotopy commutativity in localized groups ⋮ Higher homotopy commutativity of 𝐻-spaces and the permuto-associahedra ⋮ Pairings of \(p\)-compact groups and \(H\)-structures on the classifying spaces of finite loop spaces ⋮ Homotopy commutativity of $H$-spaces with finitely generated cohomology ⋮ The Milgram non-operad ⋮ Homotopy commutativity, homotopy associativity and power spaces

Cites Work

• Unnamed Item
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• On the mod p torus theorem of John Hubbuck
• Vector bundles and the Künneth formula
• Homotopy commutative H-spaces
• Higher order Whitehead products
• Lusternik-Schnirelmann category and strong category
• The bar construction and Abelian H-spaces
• On homotopy commutative H-spaces
• \(H\)-spaces from a homotopy point of view
• Higher Samelson products
• ON THE K-RING STRUCTURE OF X-PROJECTIVE n-SPACE
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Multiplicative Properties of Power Maps. II
• Homotopy Commutativity in Localized Groups
• On the homotopy-commutativity of groups and loop spaces
• Mod p associative H-spaces of given rank
• SPACES WITH VANISHING WHITEHEAD PRODUCTS
• Homotopy-abelian Lie groups
• Higher Homotopy-Commutativity

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