Finite dimensional Polish spaces are extreme boundaries of convex bodies in Euclidean space
Any n-dimensional Polish space is homeomorphic to the set of extreme points of a compact convex set in \(R^{18(n+1)}\). This answers affirmatively a question posed by \textit{A. J. Lazar} [Isr. J. Math. 20, 369-374 (1975; Zbl 0311.46006)].
scientific article; zbMATH DE number 4192634