Two lifting theorems

Lloyd, Stuart P.

doi:10.1090/S0002-9939-1974-0328588-4

Two lifting theorems

Author: Stuart P. Lloyd
Journal: Proc. Amer. Math. Soc. 42 (1974), 128-134
MSC: Primary 46G15
DOI: https://doi.org/10.1090/S0002-9939-1974-0328588-4
MathSciNet review: 0328588
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Abstract: It is assumed that the measure algebra involved has cardinality ${2^{{\aleph _0}}}$ , and it is assumed further that ${2^{{\aleph _0}}} = {\aleph _1}$ . Then liftings exist when the $\sigma$ -field is not necessarily complete, and strong Borel liftings exist in the locally compact $\sigma$ -compact metric case.

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