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NOTE ON $\mathsf {TD} + \mathsf {DC}_{\mathbb {R}}$ IMPLYING $\mathsf {AD}^{L(\mathbb {R})}$

Part of: Set theory

Published online by Cambridge University Press:  04 January 2024

SEAN CODY
SEAN CODY*
Affiliation:
DEPARTMENT OF MATHEMATICS UC BERKELEY BERKELEY, CA 94720, USA
*
E-mail: s.cody@berkeley.edu
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Abstract

A short core model induction proof of $\mathsf {AD}^{L(\mathbb {R})}$ from $\mathsf {TD} + \mathsf {DC}_{\mathbb {R}}$.

Keywords

inner model theorycore model inductiondeterminacy

MSC classification

Primary: 03E45: Inner models, including constructibility, ordinal definability, and core models 03E60: Determinacy principles

Information

Type
Article
Information
The Journal of Symbolic Logic , Volume 89 , Issue 1 , March 2024 , pp. 211 - 217
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of The Association for Symbolic Logic

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References

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