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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Two lifting theorems


Author: Stuart P. Lloyd
Journal: Proc. Amer. Math. Soc. 42 (1974), 128-134
MSC: Primary 46G15
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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DOI: https://doi.org/10.1090/S0002-9939-1974-0328588-4
Keywords: Lifting theory
Article copyright: © Copyright 1974 American Mathematical Society