Runge tubes in Stein manifolds with the density property.

In this paper we give a simple proof of the existence and plenitude of Runge tubes in Cn (n > 1) and, more generally, in Stein manifolds with the density property. We show in particular that for any algebraic submanifold X of codimension at least two in a complex Euclidean space Cn, the normal bundle of X admits a holomorphic embedding onto a Runge domain in Cn which agrees with the inclusion map X → Cn on the zero section. [ABSTRACT FROM AUTHOR]