  Let $G$ be a graph with $n$ vertices, and $d$ be a target dimension. In this
paper we study the set of rank $n-d-1$ matrices that are equilibrium stress
matrices for at least one (unspecified) $d$-dimensional framework of $G$ in
general position. In particular, we show that this set is algebraically
irreducible. Likewise, we show that the set of frameworks with such equilibrium
stress matrices is irreducible. As an application, this leads to a new and
direct proof that every generically globally rigid graph has a generic
framework that is universally rigid.
