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 1, such that every transversal of this partition is null.
Original language | English |
---|---|
Article number | 1950008 |
Journal | Journal of Mathematical Logic |
Volume | 19 |
Issue number | 2 |
DOIs | |
State | Published - 1 Dec 2019 |
Bibliographical note
Publisher Copyright:© 2019 World Scientific Publishing Company.
Keywords
- Forcing
- null ideal