On the uniqueness of Dyer-Lashof operations on the Bott periodicity spaces

DOI10.2977/PRIMS/1195187214zbMath0456.55009OpenAlexW2072984892MaRDI QIDQ1150911

Masatsugu Nagata

Publication date: 1980

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195187214

zbMATH Keywords

Bott periodicity infinite loopspace structuresuniqueness of Dyer-Lashof operations on the Bott periodicity spaces

Mathematics Subject Classification ID

Loop spaces (55P35) Topological (K)-theory (55N15) Infinite loop spaces (55P47) Dyer-Lashof operations (55S12)

Related Items (2)

Infinite loop spaces and positive scalar curvature ⋮ Uniqueness of the infinite loop space structures on connective fibre spaces of BSO

Cites Work

• Homology operations and loop spaces
• A topological proof of the Bott periodicity theorems
• The stable homotopy of the classical groups
• On the structure of Hopf algebras
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Homology of the classical groups over the Dyer-Lashof algebra
• DYER-LASHOF OPERATIONS FOR THE CLASSIFYING SPACES OF CERTAIN MATRIX GROUPS
• Uniqueness of BSO
• Cohomology operations in iterated loop spaces
• Homology of Iterated Loop Spaces
• Unnamed Item

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