arXiv · math/0511330
Saccharinity
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.
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Jakob Kellner, Saharon Shelah. 2005-11-13. Saccharinity. https://doi.org/10.2178/jsl/1318338844
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