An extension of the Sard-Smale theorem to convex domains with an empty interior
type: Item
instance of: scholarly article
title: An extension of the Sard-Smale theorem to convex domains with an empty interior
zbMATH Open document ID: 1306.91061
published in: Journal of Mathematical Economics
publication date: 2014-12-03T00:00:00Z
review text: Motivated by economical applications modelled by applications in Banach lattices having positive cones with empty interior, the authors extend to this technical set-up the Preimage theorem and the Sard-Smale theorem.
Mathematics Subject Classification ID: 91B24
Mathematics Subject Classification ID: 46B42
Mathematics Subject Classification ID: 46N10
Mathematics Subject Classification ID: 91B50
zbMATH DE Number: 6376384
zbMATH Keywords: determinacy
zbMATH Keywords: equilibrium manifold
zbMATH Keywords: positive cone
author: Elvio Accinelli
author: Enrique Covarrubias
reviewed by: George Stoica
MaRDI profile type: Publication
full work available at URL: j.jmateco.2014.10.005
OpenAlex ID: W2126023498
cites work: The equilibrium set of infinite dimensional Walrasian economies and the natural projection
cites work: The non-existence of smooth demand in general Banach spaces
cites work: Some results on uniqueness and on stability of equilibrium in general equilibrium theory
cites work: Equilibrium analysis of the infinite horizon model with smooth discounted utility functions
cites work: Pareto optima, welfare weights, and smooth equilibrium analysis
cites work: The natural projection approach to the infinite-horizon model
cites work: Smooth infinite economies
cites work: Regular Infinite Economies
cites work: The equilibrium set of economies with a continuous consumption space
cites work: Economies with a Finite Set of Equilibria
cites work: Q5185568
cites work: Implementing Arrow-Debreu Equilibria by Continuous Trading of Few Long-Lived Securities
cites work: Comparative Statics and Perfect Foresight in Infinite Horizon Economies
cites work: Determinacy of equilibrium in large-scale economies
cites work: The Price Equilibrium Existence Problem in Topological Vector Lattices
cites work: The measure of the critical values of differentiable maps
cites work: Determinacy of competitive equilibria in economies with many commodities
cites work: Quadratic Concavity and Determinacy of Equilibrium
cites work: An Infinite Dimensional Version of Sard's Theorem
cites work: Q4271322
DOI: 10.1016/J.JMATECO.2014.10.005
description: scientific article; zbMATH DE number 6376384