Abstract
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.
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© 1994 Springer Science+Business Media New York
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Husemoller, D. (1994). Differentiable Manifolds. In: Fibre Bundles. Graduate Texts in Mathematics, vol 20. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2261-1_18
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DOI: https://doi.org/10.1007/978-1-4757-2261-1_18
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-2263-5
Online ISBN: 978-1-4757-2261-1
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