Saccharinity

Mathematics – Logic

Scientific paper

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Scientific paper

10.2178/jsl/1318338844

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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