The homology of double loop spaces of complex Stiefel manifolds

DOI10.2977/prims/1195177630zbMath0622.55013OpenAlexW2147954857MaRDI QIDQ1090972

Atsushi Yamaguchi

Publication date: 1986

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/1195177630

zbMATH Keywords

Bockstein spectral sequenceaction of the Steenrod algebramod-p homology for the double loop space of SU(n)/SU(k)triple loop space

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Loop spaces (55P35) Steenrod algebra (55S10) Spectral sequences and homology of fiber spaces in algebraic topology (55R20) Applications of Eilenberg-Moore spectral sequences (57T35) Homology and cohomology of (H)-spaces (57T25)

Related Items (1)

On the collapse of certain Eilenberg-Moore spectral sequences.

Cites Work

• Note on the Eilenberg-Moore spectral sequence
• The structure of Morava stabilizer algebras
• The homology of iterated loop spaces
• Bipolynomial Hopf algebras
• On the structure of Hopf algebras
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• The Structure of the Hopf Algebra H * (BU) over a Z (p) -Algebra

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