The Crease Structure of the Karush-Kuhn-Tucker Set in Parametric Optimization

We study optimization problems depending on a parameter vector y. In particular, we consider the crease structure of the set Σ of pairs (x, y) where x is a Karush-Kuhn-Tucker point of the problem associated with parameter y; the Mangasarian-Fromovitz constraint qualification is assumed to hold. We present a lower bound for the fineness of Whitney regular stratifications of Σ. This provides an approximation of its crease structure.