# Sh:437

- Burke, M. R., & Shelah, S. (1992).
*Linear liftings for noncomplete probability spaces*. Israel J. Math.,**79**(2-3), 289–296. arXiv: math/9201252 DOI: 10.1007/BF02808221 MR: 1248919 -
Abstract:

We show that it is consistent with ZFC that L^\infty(Y,{\mathcal B},\nu) has no linear lifting for many non-complete probability spaces (Y,{\mathcal B},\nu), in particular for Y=[0,1]^A, {\mathcal B}= Borel subsets of Y, \nu= usual Radon measure on {\mathcal B}. - Version 1995-11-22_10 (8p) published version (8p)

Bib entry

@article{Sh:437, author = {Burke, Maxim R. and Shelah, Saharon}, title = {{Linear liftings for noncomplete probability spaces}}, journal = {Israel J. Math.}, fjournal = {Israel Journal of Mathematics}, volume = {79}, number = {2-3}, year = {1992}, pages = {289--296}, issn = {0021-2172}, mrnumber = {1248919}, mrclass = {03E35 (03E75 28A51 46G15)}, doi = {10.1007/BF02808221}, note = {\href{https://arxiv.org/abs/math/9201252}{arXiv: math/9201252}}, arxiv_number = {math/9201252} }