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arxiv: math/0511330 · v2 · pith:5W5HTGGUnew · submitted 2005-11-13 · 🧮 math.LO

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keywords methodalongamalgamationapplycertainconstructdefinablefinitely
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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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