Counting elements in homotopy sets

DOI10.1007/BF01174773zbMath0498.55006MaRDI QIDQ1171311

Robert M. Switzer

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/173121

zbMATH Keywords

Postnikov decompositionCW decompositioncounting isomorphism classes of complex 3-bundles over complex projective n-spacespectral sequence for homotopy groups

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Homotopy groups, general; sets of homotopy classes (55Q05) Homotopy groups of special spaces (55Q52) General theory of spectral sequences in algebraic topology (55T05)

Related Items (4)

On the mod 2 cohomology of spaces of sphere and projective bundle sections ⋮ On the unstable homotopy spectral sequences ⋮ Self-maps on twisted Eilenberg-MacLane spaces ⋮ Self-homotopy equivalences of \(H_*(-;Z/p)\)-local spaces

Cites Work

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• A note on the Samelson product in the classical groups
• Higher order twisted cohomology operations
• Obstruction theory in fiber spaces
• A Study of Function Spaces by Spectral Sequences
• Note on Cup-Products
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Cohomology and the Classification of Liftings
• Track Groups (I)

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