The Homotopy Thom Class of a Spherical Fibration

DOI10.2307/2042976zbMath0459.55010OpenAlexW4237546060MaRDI QIDQ3909707

Howard J. Marcum, A. Duane Randall

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2042976

zbMATH Keywords

n th evaluation subgroup of the Thom spaceWhitehead square of the homotopy Thom class of a spherical fibration

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Topology of vector bundles and fiber bundles (57R22) Fiber spaces in algebraic topology (55R05) Whitehead products and generalizations (55Q15)

Related Items (2)

Whitehead squares in Thom complexes ⋮ Lie-model for Thom spaces of tangent bundles

Cites Work

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• On functional cup-products and the transgression operator
• Secondary cohomology operations on the Thom class
• The Kervaire invariant of framed manifolds and its generalization
• Vector fields with finite singularities
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• WHITEHEAD PRODUCTS AND COHOMOLOGY OPERATIONS
• K-THEORY AND THE HOPF INVARIANT
• THE SPAN OF A MANIFOLD
• Evaluation Subgroups of Homotopy Groups
• A Theorem on Injectivity of the Cup Product
• The index of a tangent 2-field

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