The R-Borel structure on a Choquet simplex

Roger R. Smith

Vol. 73 (1977), No. 1, 221–226

DOI: 10.2140/pjm.1977.73.221

Abstract

The R-Borel structure on a Choquet simplex K is studied. It is shown that the central decomposition and maximal measures coincide, and this is used to improve the well-known theorem that maximal measures are pseudo-concentrated on the extreme boundary.

Mathematical Subject Classification 2000

Primary: 46A99

Milestones

Received: 1 February 1977

Published: 1 November 1977