Fibre Bundles pp 248-265 | Cite as

Differentiable Manifolds

  • Dale Husemoller
Part of the Graduate Texts in Mathematics book series (GTM, volume 20)


Fibre bundles first arose as bundles associated with the geometry of a manifold. In this chapter we consider topics in the topology of manifolds connected with vector bundles and the orientability of manifolds. Using Stiefel-Whitney classes we derive elementary nonexistence theorems for immersions of manifolds into euclidean space.


Vector Bundle Fibre Bundle Tangent Bundle Normal Bundle Differentiable Manifold 
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Copyright information

© Dale Hausemoller 1966

Authors and Affiliations

  • Dale Husemoller
    • 1
  1. 1.Department of MathematicsHaverford CollegeHaverfordUSA

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