Sard’s Theorem and Transversality

Antonio Villanacci, Laura Carosi, Pierluigi Benevieri and Andrea Battinelli
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Antonio Villanacci: Università degli Studi di Firenze
Laura Carosi: Università degli Studi di Pisa
Pierluigi Benevieri: Università degli Studi di Firenze
Andrea Battinelli: Università degli Studi di Siena

Chapter Chapter 6 in Differential Topology and General Equilibrium with Complete and Incomplete Markets, 2002, pp 133-158 from Springer

Abstract: 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.

Keywords: General Equilibrium; Open Covering; Measure Zero; Full Measure; Countable Family (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/978-1-4757-3619-9_6

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