Fernando Galván, José Francisco2023-06-192023-06-192014-090022-404910.1016/j.jpaa.2014.01.011https://hdl.handle.net/20.500.14352/33618In 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.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0022404914000127http://www.sciencedirect.com/restricted access512Semialgebraic sets and related spacesReal algebraic setsTopology of real algebraic varietiesCurvesÁlgebra1201 Álgebra