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Fernando Galván, José Francisco
(2014)
*On the one dimensional polynomial and regular images of R-n.*
Journal of pure and applied algebra, 218
(9).
pp. 1745-1753.
ISSN 0022-4049

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Official URL: http://www.sciencedirect.com/science/article/pii/S0022404914000127

## Abstract

In this work we present a full geometric characterization of the 1-dimensional polynomial and regular images of R-n. In addition, given a polynomial image S of R-n, we compute the smallest positive integer p := p(S) such that S is a polynomial image of R-p. Analogously, given a regular image S' of R-n, we determine the smallest positive integer r := r(S') such that S' is a regular image of R-r.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Semialgebraic sets and related spaces; Real algebraic sets; Topology of real algebraic varieties; Curves |

Subjects: | Sciences > Mathematics > Algebra |

ID Code: | 26445 |

Deposited On: | 29 Jul 2014 08:44 |

Last Modified: | 29 Jul 2014 08:44 |

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