On exotic characteristic classes for spherical fibrations

DOI10.1016/0166-8641(85)90016-1zbMath0585.55014OpenAlexW2035287217MaRDI QIDQ1070574

Artur Heil

Publication date: 1985

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(85)90016-1

zbMATH Keywords

sphere bundlessecondary cohomology operationsexotic characteristic classes for spherical fibrationsrelations in the mod 2 Steenrod algebraStiefel- Whitney classesWu formula for Poincaré duality spaces

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Poincaré duality spaces (57P10) Secondary and higher cohomology operations in algebraic topology (55S20)

Related Items (1)

On tertiary exotic characteristic classes

Cites Work

• Exotic characteristic classes and their relation to universal surgery classes
• Function spaces and duality
• The dual of a secondary cohomology operation
• On the non-existence of elements of Hopf invariant one
• On the action of the Dyer-Lashof algebra in \(H*(G)\)
• The first exotic class of BF
• Relations among characteristic classes. I
• Cobordism theories
• Postnikov invariants and higher order cohomology operations
• On the structure of Hopf algebras
• Spaces satisfying Poincaré duality
• Twisted cohomology operations and exotic characteristic classes
• Whitney-Cartan product formulae
• Higher order twisted cohomology operations
• The mod 2 spherical characteristic classes
• Poincaré spaces, their normal fibrations and surgery
• A definition of exotic characteristic classes of spherical fibrations
• Characteristic Classes. (AM-76)
• Cohomology operations in iterated loop spaces
• Homological Algebra and the Eilenberg-Moore Spectral Sequence
• Homology of Iterated Loop Spaces
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