Abstract
In many problems of calculus on manifolds and in differential topology, it is crucial to have some knowledge about the distribution of regular values of a C r function f: M → N, with M and N manifolds. For example, the construction of degree (Chapter 7) is based on the fact that the set of regular values of f is dense in N.
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© 2002 Springer Science+Business Media Dordrecht
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Villanacci, A., Carosi, L., Benevieri, P., Battinelli, A. (2002). Sard’s Theorem and Transversality. In: Differential Topology and General Equilibrium with Complete and Incomplete Markets. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3619-9_6
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DOI: https://doi.org/10.1007/978-1-4757-3619-9_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-5306-3
Online ISBN: 978-1-4757-3619-9
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