  We consider the Edwards-Anderson Ising Spin Glass model for non negative
temperatures T: We define the natural notion of Boltzmann- Gibbs measure for
the Edwards-Anderson spin glass at a given temperature, and of unsatisfied
edges. We prove that for low enough temperatures, in almost every spin
configuration the graph formed by the unsatisfied edges is made of finite
connected components. In other words, the unsatisfied edges do not percolate.
