English

Saccharinity

Logic 2011-10-18 v2

Abstract

We present a method to iterate finitely splitting lim-sup tree forcings along non-wellfounded linear orders. We apply this method to construct a forcing (without using an inaccessible or amalgamation) that makes all definable sets of reals measurable with respect to a certain (non-ccc) ideal.

Keywords

Cite

@article{arxiv.math/0511330,
  title  = {Saccharinity},
  author = {Jakob Kellner and Saharon Shelah},
  journal= {arXiv preprint arXiv:math/0511330},
  year   = {2011}
}