T. Carlson et al., BOREL LIFTINGS OF THE MEASURE ALGEBRA AND THE FAILURE OF THE CONTINUUM-HYPOTHESIS, Proceedings of the American Mathematical Society, 120(4), 1994, pp. 1247-1250
It is proved that the failure of the continuum hypothesis is consisten
t with the existence of a Borel lifting for the Lebesgue measure algeb
ra and an embedding of the Lebesgue measure algebra into p(omega)/fini
te.