Vector Bundles

  • Stephen Bruce Sontz
Part of the Universitext book series (UTX)


Right now we would like to understand how the transition functions T ψβ α give us the tangent bundle. And this in turn will motivate the introduction of vector bundles. It is no exaggeration to say that a clear understanding of just the one example of the tangent bundle suffices to give one a clear understanding of vector bundles in general.


  1. 23.
    F. Hirzebruch, Topological Methods in Algebraic Geometry, Springer, 1978 (reprinted 1995).Google Scholar
  2. 27.
    D. Husemoller, Fibre Bundles, Graduate Texts in Mathematics, Vol. 20, Springer.Google Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Stephen Bruce Sontz
    • 1
  1. 1.Centro de Investigación en Matemáticas, A.C.GuanajuatoMexico

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