Vector fields and transfers

DOI10.1007/BF02568269zbMath0736.55012MaRDI QIDQ1176269

Daniel Henry Gottlieb, James C. Becker

Publication date: 25 June 1992

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155632

zbMATH Keywords

transgressionBecker-Gottlieb transfer mapDold's fixed point transfer for fibre preserving mapsequivariant vector fieldsvector field indicesvertical vector field on the total space of a smooth fibre bundle

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Fiber bundles in algebraic topology (55R10) Transfer for fiber spaces and bundles in algebraic topology (55R12)

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The exponential law for partial, local and proper maps and its application to otopy theory ⋮ Otopy classification of gradient compact perturbations of identity in Hilbert space ⋮ The Hopf theorem for gradient local vector fields on manifolds ⋮ Otopy classes of equivariant maps ⋮ Proper gradient otopies ⋮ On relations between gradient and classical equivariant homotopy groups of spheres ⋮ Viable periodic solutions in state-dependent impulsive problems ⋮ On the homotopy equivalence of the spaces of proper and local maps ⋮ Fixed point indices and manifolds with collars ⋮ A homological approach to pseudoisotopy theory. I.

Cites Work

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• Duality, trace and transfer
• The transfer map and fiber bundles
• The fixed point transfer of fiber-preserving maps
• The fixed point index of fibre-preserving maps
• Fixed point index and fixed point theorem for Euclidean neighborhood retracts
• Fixed Point Theory and Homotopy Theory