On the Set of Points at Infinity of a Polynomial Image of ℝn

نویسندگان

  • José F. Fernando
  • Carlos Ueno
چکیده

In this work we prove that the set of points at infinity S8 :“ ClRPm pSqXH8 of a semialgebraic set S Ă R that is the image of a polynomial map f : R Ñ R is connected. This result is no longer true in general if f is a regular map. However, it still works for a large family of regular maps that we call quasi-polynomial maps.

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عنوان ژورنال:
  • Discrete & Computational Geometry

دوره 52  شماره 

صفحات  -

تاریخ انتشار 2014