Sh:1102

• Kumar, A., & Shelah, S. (2019). On possible restrictions of the null ideal. J. Math. Log., 19(2), 1950008, 14. DOI: 10.1142/S0219061319500089 MR: 4014888
• Abstract:
  We prove that the null ideal restricted to a non null set of reals could be isomorphic to a variety of sigma ideals. Using this, we show that the following are consistent: (1) There is a non null subset of plane each of whose non null subsets contains three collinear points. (2) There is a partition of a non null set of reals into null sets, each of size \aleph_1, such that every transversal of this partition is null.
• Version 2020-06-04 (14p) published version (14p)

@article{Sh:1102,
 author = {Kumar, Ashutosh and Shelah, Saharon},
 title = {{On possible restrictions of the null ideal}},
 journal = {J. Math. Log.},
 fjournal = {Journal of Mathematical Logic},
 volume = {19},
 number = {2},
 year = {2019},
 pages = {1950008, 14},
 issn = {0219-0613},
 mrnumber = {4014888},
 mrclass = {03E35 (03E75)},
 doi = {10.1142/S0219061319500089}
}