Vector Bundles and Tubular Neighborhoods

  • Morris W. Hirsch
Part of the Graduate Texts in Mathematics book series (GTM, volume 33)


Although the concept of tangent bundle was defined in the first chapter, until now we have made only minimal use of it. In this chapter we abstract certain features of the tangent bundle, thus defining a mixed topological-algebraic object called a vector bundle. Most of the deep invariants of a manifold are intimately linked to the tangent bundle; their development requires a general theory of vector bundles.


Exact Sequence Vector Bundle Normal Bundle Short Exact Sequence Homotopy Class 
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Copyright information

© Springer-Verlag New York Inc. 1976

Authors and Affiliations

  • Morris W. Hirsch
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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