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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© 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
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