%0 Journal Article %T Approximation on arcs and dendrites going to infinity in $C^n$ (extended version) %A P. M. Gauthier %A E. S. Zeron %J Mathematics %D 2006 %I arXiv %X The Stone-Weierstrass approximation theorem is extended to certain unbounded sets in $C^n$. In particular, on a locally rectifiable arc going to infinity, each continuous function can be approximated by entire functions. %U http://arxiv.org/abs/math/0607511v1