Semidefinite extreme points of the unit ball in a polynomial space

We give a full description of the semidefinite extreme points of BΔ. The present paper completes the description of the set EΔ of all extreme points of BΔ started in Milev and Naidenov (2008) [13] and Milev and Naidenov (2011) [14]. We study, as an application, the path-connectedness of EΔ. The conclusion is that EΔ∖{±1} consists of two path-connected components.