Stone-Cech Compactifications of Spaces of Probability Measures

E. A. Reznichenko

It is proved that $P({\hat{I}}^{2}X)={\hat{I}}^{2}P(X)$ if and only if $P(X)$ is a pseudocompact space, where $P(X)$ is the space of Radon probability measures with the weak topology and ${\hat{I}}^{2}X$ is the St…