| Institution: | Institute of Mathematics, Polish Academy of Sciences, ul. Kopernika 18, 51-617 Wroclaw, Poland ; Institute of Mathematics, University of Wroclaw, pl. Grunwaldzki 2/4, 50-384 Wro- claw, Poland ; Institute of Mathematics, Wroclaw Technical University and Institute of Mathematics, Polish Academy of Sciences, ul. Kopernika 18, 51-617 Wroclaw, Poland |
| Abstract: | We consider a class of compact spaces  for which the space  of probability Radon measures on  has countable tightness in the  topology. We show that that class contains those compact zero-dimensional spaces for which  is weakly Lindelöf, and, under MA +  CH, all compact spaces  with  having property (C) of Corson. |
