%0 Journal Article %A Fernando Galván, José Francisco %T On the one dimensional polynomial and regular images of R-n %D 2014 %@ 0022-4049 %U https://hdl.handle.net/20.500.14352/33618 %X 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. %~