On possible restrictions of the null ideal

Ashutosh Kumar*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Article number1950008
JournalJournal of Mathematical Logic
Volume19
Issue number2
DOIs
StatePublished - 1 Dec 2019

Bibliographical note

Publisher Copyright:
© 2019 World Scientific Publishing Company.

Keywords

  • Forcing
  • null ideal

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