An extension of the Sard-Smale Theorem to domains with an empty interior

Accinelli, Elvio and Covarrubias, Enrique (2013): An extension of the Sard-Smale Theorem to domains with an empty interior.

Abstract

This work extends the Sard-Smale Theorem to maps between convex subsets of Banach spaces that may have an empty interior.

• Item Type: MPRA Paper
• Language: English
• Keywords: General equilibrium theory; regular economies; critical economies.
• Subjects: D - Microeconomics > D5 - General Equilibrium and Disequilibrium; D - Microeconomics > D5 - General Equilibrium and Disequilibrium > D50 - General; D - Microeconomics > D5 - General Equilibrium and Disequilibrium > D51 - Exchange and Production Economies; D - Microeconomics > D5 - General Equilibrium and Disequilibrium > D53 - Financial Markets

References

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Smale, S. (1965) \emph{An infinite dimensional version of Sard's theorem.} American Journal of Mathematics 87-4, 861-866.

Zeidler, E. (1993) Non Linear Functional Analysis and its Applications. \emph{Springer Verlag.}