Manifolds in Euclidean Spaces

  • Antonio Villanacci
  • Laura Carosi
  • Pierluigi Benevieri
  • Andrea Battinelli
Chapter

Abstract

One perhaps reductive but certainly perspicuous way to describe the present book, if one looks at it from a completely abstract point of view, is to say that it is mainly devoted to the study of some nonlinear equation systems which the authors consider particularly important in applications to problems arising in general equilibrium models. To study a system of nonlinear equations means, among other things, to decide whether or not it has any solutions, and, in the affirmative case, to establish properties of its solution set. This is a much more difficult task than in the case of systems of linear equations.

Keywords

Euclidean Space Open Subset Topological Space Open Neighborhood General Equilibrium 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2002

Authors and Affiliations

  • Antonio Villanacci
    • 1
  • Laura Carosi
    • 2
  • Pierluigi Benevieri
    • 1
  • Andrea Battinelli
    • 3
  1. 1.Università degli Studi di FirenzeItaly
  2. 2.Università degli Studi di PisaItaly
  3. 3.Università degli Studi di SienaItaly

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