  The space of non-resultant systems of bounded multiplicity for a toric
variety X is a generalization of the space of rational curves on it. In our
earlier work we proved a homotopy stability theorem and determined explicitly
the homotopy type of this space for the case X = CP^m. In this paper we
consider the case of a general non-singular toric variety and prove a homotopy
stability theorem generalising the one for CP^m.
