# Sh:1102

• Kumar, A., & Shelah, S. (2019). On possible restrictions of the null ideal. J. Math. Log., 19(2), 1950008, 14.
• 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.
Bib entry
@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},
doi = {10.1142/S0219061319500089},
mrclass = {03E35 (03E75)},
mrnumber = {4014888},
doi = {10.1142/S0219061319500089}
}