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6. Some Exterior Algebra

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1834)

Abstract

We give in this chapter some basic definitions and well-known results in exterior algebra, in order to get a convenient definition of a size for differentials of mappings. The behaviour of this size under projections and restrictions to subspaces (as required by the variations approach) is studied.

Keywords

  • Orthonormal Basis
  • Homogeneous Element
  • Grassmann Manifold
  • Exterior Algebra
  • Transversality Theorem

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Correspondence to Yosef Yomdin .

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© 2004 Springer-Verlag

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Yomdin, Y., Comte, G. (2004). 6. Some Exterior Algebra. In: Tame Geometry with Application in Smooth Analysis. Lecture Notes in Mathematics, vol 1834. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-40960-1_6

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  • DOI: https://doi.org/10.1007/978-3-540-40960-1_6

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20612-5

  • Online ISBN: 978-3-540-40960-1

  • eBook Packages: Springer Book Archive