Monotone versus non‐monotone projective operators
Copyright policy )Monotone versus non‐monotone projective operators
AbstractFor a class of operators , let denote the closure ordinal of ‐inductive definitions. We give upper bounds on the values of and under the assumption that all projective sets of reals are determined, significantly improving the known results. In particular, the bounds show that and hold for under the assumption of projective determinacy. Some of these inequalities were obtained by Aanderaa in the 70s via recursion‐theoretic methods but never appeared in print. Our proofs are model‐theoretic.
- University of Bristol United Kingdom
- TU Wien Austria
Inductive definability, Inner models, including constructibility, ordinal definability, and core models, /dk/atira/pure/core/keywords/school_of_mathematics/pure_mathematics, Set Theory, name=Pure Mathematics, Computability and recursion theory on ordinals, admissible sets, etc., 510, 543
Inductive definability, Inner models, including constructibility, ordinal definability, and core models, /dk/atira/pure/core/keywords/school_of_mathematics/pure_mathematics, Set Theory, name=Pure Mathematics, Computability and recursion theory on ordinals, admissible sets, etc., 510, 543
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