Titlebook: Differential Topology and General Equilibrium with Complete and Incomplete Markets; Antonio Villanacci,Laura Carosi,Andrea Battinelli Book

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Restricted Participationcomplete, there can hardly be any disagreement over whether at least some economic agents are variously constrained in transacting on those financial markets. Without attempting a detailed explanation of how particular constraints come about (for example, in order to resolve problems arising from mo

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Heather C. Levy,Matthew A. Levy manifolds. As we argued in the introduction of Chapter 2, one of the main objects of elementary calculus is the representation of the local behavior of nonlinear functions mapping open subsets of ℝ. into ℝ. by means of their linear and higher order approximations. Similarly, one of the main purpose

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Palgrave Studies in Animals and Literaturespaces, do not hold in full generality, but only under appropriate restrictions. For example, most, but not all, the level sets of a .. function exhibit a manifold structure (if they are not empty). The concept of regular value provides in this case the appropriate dividing line, as stated by the re

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Postmodernism and Sri Aurobindo closed unit ball, a solid torus, a compact cylindrical surface. Those sets fail to be .. manifolds because of points they have on their “boundaries”. In fact, around those points they look like closed euclidean halfspaces or even convex cones. The definition of manifold with boundary deals with thi