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Sard’s Theorem and Transversality

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

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: MN, 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 
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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