most recent 30 from http://mathoverflow.net 2013-05-25T05:38:53Z http://mathoverflow.net/feeds/question/92453 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/92453/universally-measurable-sets-and-the-perfect-set-property Detelin 2012-03-28T12:43:58Z 2012-03-28T12:43:58Z

<p>Is it true that all universally measurable sets (say on $[0,1]$ ) have the perfect set property?<br> I am not an expert in this at all and the answer may be known, but I was not able to find it. I know that all Borel, analytic, and projective sets have the perfect set property and are universally measurable but in such generality the answer to my question may be false.</p>