Polynomial and regular images of ℝ n | Zendy

José F. Fernando | Zendy; J. M. Gamboa | Zendy

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Polynomial and regular images of ℝ n

Author(s) -

José F. Fernando,

J. M. Gamboa

Publication year - 2006

Publication title -

israel journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.168

H-Index - 63

eISSN - 1565-8511

pISSN - 0021-2172

DOI - 10.1007/bf02771779

Subject(s) - mathematics , polynomial , dimension (graph theory) , image (mathematics) , piecewise , boundary (topology) , combinatorics , discrete mathematics , algebra over a field , pure mathematics , mathematical analysis , artificial intelligence , computer science

We obtain new necessary conditions for an n-dimensional semialgebraic subset of R-n to be a polynomial image of R-n. 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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