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de Rham Theory

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Part of the Graduate Texts in Mathematics book series (GTM,volume 82)

Abstract

To start things off we define in this section the de Rham cohomology and compute a few examples. This will turn out to be the most important diffeomorphism invariant of a manifold. So let x l,..., x n be the linear coordinates on ℝn.

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  • Vector Bundle
  • Compact Support
  • Open Cover
  • Cohomology Class
  • Euler Class

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© 1982 Springer Science+Business Media New York

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Bott, R., Tu, L.W. (1982). de Rham Theory. In: Differential Forms in Algebraic Topology. Graduate Texts in Mathematics, vol 82. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3951-0_2

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  • DOI: https://doi.org/10.1007/978-1-4757-3951-0_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-2815-3

  • Online ISBN: 978-1-4757-3951-0

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