Abstract
We obtain new necessary conditions for ann-dimensional semialgebraic subset of ℝn to be a polynomial image of ℝn. Moreover, we prove that a large family of planar bidimensional semialgebraic sets with piecewise linear boundary are images of polynomial or regular maps, and we estimate in both cases the dimension of their generic fibers.
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Supported by Spanish GAAR BFM2002-04797 and European RAAG HPRN-CT-2001-00271.
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Fernando, J.F., Gamboa, J.M. Polynomial and regular images of ℝn . Isr. J. Math. 153, 61–92 (2006). https://doi.org/10.1007/BF02771779
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DOI: https://doi.org/10.1007/BF02771779