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A classification of definable forcings on \(\omega_ 1\). (English) Zbl 0883.03038

Summary: Under the assumption of the existence of sharps for reals all simply definable posets on \(\omega_1\) are classified up to forcing equivalence.

MSC:

03E40 Other aspects of forcing and Boolean-valued models
03E45 Inner models, including constructibility, ordinal definability, and core models