Linear liftings for non-complete probability spaces

Maxim R. Burke; Saharon Shelah

doi:10.1007/BF02808221

Linear liftings for non-complete probability spaces

Maxim R. Burke^*, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We show that it is consistent with ZFC that L^∞(Y,B,ν) has no linear lifting for many non-complete probability spaces (Y,B,ν), in particular for Y=[0,1]^A, B=Borel subsets of Y, ν=usual Radon measure on B.

Original language	English
Pages (from-to)	289-296
Number of pages	8
Journal	Israel Journal of Mathematics
Volume	79
Issue number	2-3
DOIs	https://doi.org/10.1007/BF02808221
State	Published - Oct 1992

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10.1007/BF02808221

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title = "Linear liftings for non-complete probability spaces",

abstract = "We show that it is consistent with ZFC that L ∞(Y,B,ν) has no linear lifting for many non-complete probability spaces (Y,B,ν), in particular for Y=[0,1]A, B=Borel subsets of Y, ν=usual Radon measure on B.",

author = "Burke, \{Maxim R.\} and Saharon Shelah",

year = "1992",

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AB - We show that it is consistent with ZFC that L ∞(Y,B,ν) has no linear lifting for many non-complete probability spaces (Y,B,ν), in particular for Y=[0,1]A, B=Borel subsets of Y, ν=usual Radon measure on B.

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Linear liftings for non-complete probability spaces

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