Linear liftings for non complete probability space

by Burke and Shelah. [BuSh:437]
Israel J Math, 1992
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 .

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