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Algebraic and Geometric Surgery$
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Andrew Ranicki

Print publication date: 2002

Print ISBN-13: 9780198509240

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198509240.001.0001

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(p.86) 5 BUNDLES
Algebraic and Geometric Surgery

Andrew Ranicki

Oxford University Press

This chapter brings together the basic properties of fibre bundles, fibrations, and vector bundles required in surgery theory. The tangent and normal bundles of a manifold are introduced. The bundle-theoretic interpretation of the Hopf invariant and J-homomorphism in homotopy theory is also discussed.

Keywords:   fibre bundle, fibration, vector bundle, tangent bundle, normal bundle, Hopf invariant, J-homomorphism

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