The extension problem and the mod 2 cohomology of the space of loops on Spin (N)

DOI10.1017/S0308210500014165zbMath0909.55007OpenAlexW2324321066MaRDI QIDQ4021236

Katsuhiko Kuribayashi

Publication date: 16 January 1993

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500014165

Mathematics Subject Classification ID

Loop spaces (55P35) Eilenberg-Moore spectral sequences (55T20) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05)

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Cites Work

• On loop spaces without p torsion
• \(H^*\)Spin(\(n\)) as a Hopf algebra
• Hopf algebra structure of mod 2 cohomology of simple Lie groups
• Homology and fibrations I: Coalgebras, cotensor product and its derived functors
• On the structure of Hopf algebras
• On the Künneth theorem. I: The Eilenberg-Moore spectral sequence
• Steenrod operations in the Eilenberg-Moore spectral sequence
• On the Free Loop Space of Homogeneous Spaces