Hopf structures on Stiefel manifolds

DOI10.1007/BF01456067zbMath0488.55007MaRDI QIDQ1166157

J. R. Hubbuck

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/163724

zbMATH Keywords

polynomial algebracohomology ring of a spacehomotopy associative H-space structures on real, complex or symplectic Stiefel manifoldmod 2 finite H-spacesprojective plane of an H-space

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Homology and cohomology of homogeneous spaces of Lie groups (57T15) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25) Secondary and higher cohomology operations in algebraic topology (55S20) Homology and cohomology of (H)-spaces (57T25)

Cites Work

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• On the non-existence of elements of Hopf invariant one
• On the \(\mod2\) cohomology of certain \(H\)-spaces
• Torsion in \(H\)-spaces
• Steenrod squares and H-spaces. II
• On the projective plane of an H-space
• On the groups \(J(X)\). II
• Problems in differential and algebraic topology. Seattle conference, 1963
• Finitely generated cohomology Hopf algebras
• Primitivity in torsion free cohomology Hopf algebras
• Multiplication on Spheres (I)
• Cohomology Operations (AM-50)
• The Module of Indecomposables for mod 2 Finite H-Spaces
• K-THEORY AND THE HOPF INVARIANT
• Generalized Cohomology Operations and H-Spaces of Low Rank
• Vector fields on spheres

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