CHOQUET THEOREM FOR THE SPACE OF CONTINUOUS REAL-VALUED FUNCTIONS

  • Le Xuan Son
  • Vu Hong Thanh
  • Nguyen Nhuy
Keywords: Choquet Theorem, Hausdorff space, probability measure, Polish space

Abstract

We prove that Choquet Theorem does not hold for C[0,1], the space of all continuous real-valued functions on the unit interval [0,1].

Published
2020-03-04