AN ESTIMATION OF THE NUMBER OF BIFURCATION VALUES FOR REAL POLYNOMIALS
HÀ HUY VUI, PHẠM TIẾN SƠN
Abstract
Let be a polynomial of degree with only isolated complex critical points. It is shown that the set of bifurcation values of is contained in a set which has at most points. The proof of this result is done in such a way that all points of the last set can be explicitly calculated. As a consequence, we obtain a finite set containing the global infimum value
of a bounded below polynomial.