# 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. - No downloadable versions available.

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} }