2024/12/16 by Reznichenko, E. A.
#FOS: Mathematics #Functional Analysis (math.FA) #General Topology (math.GN) #Probability (math.PR)
paper · doi:10.48550/arxiv.2412.11838
It is proved that P(βX)=βP(X) if and only if P(X) is a pseudocompact space, where P(X) is the space of probability Radon measures with weak topology and βX is a Stone-Cech extension of the space X. A locally compact pseudocompact space X is constructed such that P(X) is not pseudocompact. Conditions are obtained under which P(X) is pseudocompact.