Critical sets of proper

نویسندگان

  • Iaci Malta
  • Nicolau C. Saldanha
  • Carlos Tomei
چکیده

A characterization of critical sets and their images for suitable proper Whitney functions in the plane is given. More precisely, necessary and suucient conditions are provided for the existence of proper Whitney extensions F of f : C ! R 2 such that C is the critical set of F. This result relies strongly on theorems of Blank and Troyer.

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تاریخ انتشار 2007