English

Linear liftings for non complete probability space

Logic 2009-10-22 v1 Functional Analysis

Abstract

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

Cite

@article{arxiv.math/9201252,
  title  = {Linear liftings for non complete probability space},
  author = {Max R. Burke and Saharon Shelah},
  journal= {arXiv preprint arXiv:math/9201252},
  year   = {2009}
}