Determined admissible sets
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- by J. P. Aguilera PDF
- Proc. Amer. Math. Soc. 148 (2020), 2217-2231
Abstract:
It is shown, from hypotheses in the region of $\omega ^2$ Woodin cardinals, that there is a transitive model of Kripke–Platek set theory containing $\mathbb {R}$ in which all games on $\mathbb {R}$ are determined.References
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Additional Information
- J. P. Aguilera
- Affiliation: Department of Mathematics, University of Ghent. Krijgslaan 281-S8, B9000 Ghent, Belgium; Institute of Discrete Mathematics and Geometry, Vienna University of Technology. Wiedner Hauptstraße 8–10, 1040 Vienna, Austria
- MR Author ID: 1199300
- Email: aguilera@logic.at
- Received by editor(s): December 3, 2018
- Received by editor(s) in revised form: July 16, 2019, August 10, 2019, September 1, 2019, September 2, 2019, and September 22, 2019
- Published electronically: January 21, 2020
- Additional Notes: This work was partially supported by FWF grants P-31063 and P-31955.
- Communicated by: Heike Mildenberger
- © Copyright 2020 J. P. Aguilera
- Journal: Proc. Amer. Math. Soc. 148 (2020), 2217-2231
- MSC (2010): Primary 03D70, 03E15, 03E30, 03E60, 91A44
- DOI: https://doi.org/10.1090/proc/14914
- MathSciNet review: 4078105