Baire Bijections of Extreme Points Generated by Small-Bound Isomorphisms of Simplex Spaces

Abstrakt

We show that small-bound isomorphisms of spaces of affine continuous functions on Choquet simplices with Lindelof boundaries induce Baire measurable bijections of their sets of extreme points.

Klíčová slova

• simplex
• affine functions
• Baire mappings
• Amir-Cambern theorem