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Projective prewellorderings vs projective wellfounded relations. (English) Zbl 1166.03028

Summary: We show that it is relatively consistent with ZFC that there is a projective wellfounded relation with rank higher than all projective prewellorderings.

MSC:

03E15 Descriptive set theory
03E35 Consistency and independence results
03E45 Inner models, including constructibility, ordinal definability, and core models
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References:

[1] Descriptive Set Theory (1980) · Zbl 0433.03025
[2] Mathematical Logic and Foundations of Set Theory pp 24– (1970)
[3] Set Theory: An Introduction to Independence Proofs 102 (1980)
[4] DOI: 10.1007/BF01886396 · Zbl 0158.26603
[5] On projective ordinals 39 pp 269– (1974)
[6] Set Theory (2003)
[7] DOI: 10.1016/0003-4843(77)90004-3 · Zbl 0384.03033
[8] Cabal Seminar ’77–’79 (Proceedings of the Caltech-UCLA Logic Seminar, 1977-1979) pp 101– (1981)
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