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arXiv · 1304.3019

Canonization of analytic equivalences on the Carlson-Simpson forcing

Michal Doucha
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Abstract

We prove a canonization result for the Carlson-Simpson forcing in the spirit of \cite{KSZ}. We generalize the weak form of the Carlson-Simpson theorem (\cite{CaSi}) dealing with partitions without free blocks: instead of dealing with finite Borel (resp. Baire-property) colorings we deal with (uncountable) colorings such that the corresponding equivalence relation (two partitions are equivalent if they are colored by the same color) is analytic.

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Michal Doucha. 2013-04-10. Canonization of analytic equivalences on the Carlson-Simpson forcing. https://arxiv.org/abs/1304.3019

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