K- theory and finite loop spaces of rank one

DOI10.1017/S0305004100064422zbMath0614.55013OpenAlexW2012395327MaRDI QIDQ4721242

C. A. McGibbon

Publication date: 1986

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100064422

zbMATH Keywords

cohomologyK-theoryclassifying spaces for loop multiplications on the p-local sphere

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Topological (K)-theory (55N15) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Cites Work

• Stable properties of rank 1 loop structures
• Finite H-spaces and algebras over the Steenrod algebra
• H-spaces of category \(\leq 2\)
• \(H\)-spaces from a homotopy point of view
• Spaces which Look Like Quaternionic Projective n-Space
• POWER OPERATIONS IN K-THEORY