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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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.
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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