Homotopy Invariants of Vector Bundles

  • Glenys Luke
  • Alexander S. Mishchenko
Part of the Mathematics and Its Applications book series (MAIA, volume 447)


In the section 1.2 of the chapter 1 (Theorem 3) it was shown that if the base of a locally trivial bundle with a Lie group as structure group has the form B x I then the restrictions of the bundle to B x {0} and B x {1} are isomorphic. This property of locally trivial bundles allows us to describe bundles in the terms of homotopy properties of topological spaces.


Vector Bundle Spectral Sequence Direct Summand Inverse Image Total Space 
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Copyright information

© Springer Science+Business Media Dordrecht 1998

Authors and Affiliations

  • Glenys Luke
    • 1
  • Alexander S. Mishchenko
    • 2
  1. 1.St. Hugh’s CollegeOxford UniversityOxfordUK
  2. 2.Department of MathematicsMoscow State UniversityMoscowRussia

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