Techniques for approaching the dual Ramsey property in the projective hierarchy

Details Techniques for approaching the dual Ramsey property in the projective hierarchy Techniques for approaching the dual Ramsey property in the projective hierarchy

2001-09-23

arxiv.org/abs/math/0109175v1

Pacific Journal of Mathematics 200(1) (2001) 119-145

Mathematics

Logic

Scientific paper

We define the dualizations of objects and concepts which are essential for
investigating the Ramsey property in the first levels of the projective
hierarchy, prove a forcing equivalence theorem for dual Mathias forcing and
dual Laver forcing, and show that the Harrington-Kechris techniques for proving
the Ramsey property from determinacy work in the dualized case as well.

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