Sh:619

• Shelah, S. (2003). The null ideal restricted to some non-null set may be \aleph_1-saturated. Fund. Math., 179(2), 97–129. arXiv: math/9705213 DOI: 10.4064/fm179-2-1 MR: 2029228
• 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.
• published version (33p)

@article{Sh:619,
 author = {Shelah, Saharon},
 title = {{The null ideal restricted to some non-null set may be $\aleph_1$-saturated}},
 journal = {Fund. Math.},
 fjournal = {Fundamenta Mathematicae},
 volume = {179},
 number = {2},
 year = {2003},
 pages = {97--129},
 issn = {0016-2736},
 mrnumber = {2029228},
 mrclass = {03E35 (03E15 03E17 03E55 28A05)},
 doi = {10.4064/fm179-2-1},
 note = {\href{https://arxiv.org/abs/math/9705213}{arXiv: math/9705213}},
 arxiv_number = {math/9705213}
}