Generic Minimizing Behavior in Semialgebraic Optimization
Generic Minimizing Behavior in Semialgebraic Optimization
We present a theorem of Sard type for semialgebraic set-valued mappings whose graphs have dimension no larger than that of their range space: the inverse of such a mapping admits a single-valued analytic localization around any pair in the graph, for a generic value parameter. This simple result yields a …