Whitehead squares in Thom complexes

DOI10.1017/S0013091500016552zbMath0497.57005OpenAlexW2146052862MaRDI QIDQ3962195

W. A. Sutherland

Publication date: 1981

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500016552

zbMATH Keywords

Hopf invariantsEHP-sequencefibre- homotopy James-Thomas numbershomotopy properties of the Thom complexes of tangent and normal bundlesmanifolds which bound parallelizable manifoldsnon-vanishing of the Kervaire mod 2 semicharacteristicThom space of the tangent bundle of a closed connected smooth manifold of odd dimensionWhitehead product square

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Characteristic classes and numbers in differential topology (57R20) Topology of vector bundles and fiber bundles (57R22) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Algebraic topology on manifolds and differential topology (57R19) Hopf invariants (55Q25) Whitehead products and generalizations (55Q15)

Cites Work

• Unnamed Item
• Poincaré complexes. I
• On Hopf invariants
• The Kervaire invariant of framed manifolds and its generalization
• On the normal bundle to an embedding
• Generalizations of the Kervaire invariant
• On the groups \(J(X)\). I
• The Homotopy Thom Class of a Spherical Fibration
• The Browder-Dupont Invariant
• Thom Complexes
• WHITEHEAD PRODUCTS AND COHOMOLOGY OPERATIONS
• On Homotopy Invariance of the Tangent Bundle I.
• The Fibre Homotopy Enumeration of Non-Stable Sphere Bundles and Fibrings Over Real Projective Space