Linear liftings for non complete probability space
arXiv:math/9201252 · doi:10.1111/j.1749-6632.1993.tb52507.x
Abstract
We show that it is consistent with ZFC that L^infty (Y,B, nu) has no linear lifting for many non-complete probability spaces (Y,B, nu), in particular for Y=[0,1]^A, B= Borel subsets of Y, nu = usual Radon measure on B .