Event Details

On lifting invariant probability measures

I'll discuss the following problem posed by Feliks Przytycki. Let (X,mu) be a Polish space with a Borel probability measure and let T:X->X be a Borel map preserving mu. Let Y be a Polish space and S:Y->Y, p:X->Y be Borel maps such that pS=Tp. Does mu lift to a Borel probability nu on Y such that S preserves nu?