Linear liftings for non complete probability space

Mathematics – Logic

Scientific paper

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Scientific paper

10.1111/j.1749-6632.1993.tb52507

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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