Solovay-type characterizations for forcing-algebras

Mathematics – Logic

Scientific paper

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Scientific paper

We give characterizations for the (in ZFC unprovable) sentences
``Every $\Sb{1}{2}$--set is measurable" and
``Every $\Db{1}{2}$--set is measurable" for various notions
of measurability derived from well--known forcing partial orderings.

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