English

The null ideal restricted to some non-null set may be $\aleph_1$-saturated

Logic 2008-02-03 v2

Abstract

Our main result is that possibly some non-null set of reals cannot be divided to uncountably many non-null sets. We deal also with a non-null set of reals, the graph of any function from it is null and deal with our iterations somewhat more generally.

Keywords

Cite

@article{arxiv.math/9705213,
  title  = {The null ideal restricted to some non-null set may be $\aleph_1$-saturated},
  author = {Saharon Shelah},
  journal= {arXiv preprint arXiv:math/9705213},
  year   = {2008}
}
R2 v1 2026-07-22T17:56:47.768Z