Thin equivalence relations and effective decompositions

Journal of Symbolic Logic 58 (4):1153-1164 (1993)
Let E be a Σ1 1 equivalence relation for which there does not exist a perfect set of inequivalent reals. If 0# exists or if V is a forcing extension of L, then there is a good ▵1 2 well-ordering of the equivalence classes
Keywords Descriptive set theory   thin equivalence relations
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DOI 10.2307/2275133
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Vladimir Kanovei (2000). Linearization of Definable Order Relations. Annals of Pure and Applied Logic 102 (1-2):69-100.
Philipp Schlicht (2014). Thin Equivalence Relations and Inner Models. Annals of Pure and Applied Logic 165 (10):1577-1625.

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