Topological classification of spaces of probability measures on projective spaces (Q1274117)

Under some set-theoretic assumptions the author obtains the full characterization of the pair \((P(K),P(X))\), where \(K\) is a metric compact set, \(X\) is an everywhere dense projective subset of \(K\) and \(P(\cdot)\) denotes the space of all probability measures with compact supports on the corresponding space.