Determined admissible sets-Reference-Cited by-同舟云学术

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Determined admissible sets

Published:2020-01-21 Issue:5 Volume:148 Page:2217-2231
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Aguilera J.

Abstract

It is shown, from hypotheses in the region of ω 2 \omega ^2 Woodin cardinals, that there is a transitive model of Kripke–Platek set theory containing R \mathbb {R} in which all games on R \mathbb {R} are determined.

Funder

Austrian Science Fund

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2020-148-05/S0002-9939-2020-14914-3/proc14914_AM.pdf

Reference22 articles.

1. Quantifiers, games and inductive definitions;Aczel, Peter,1975

2. J. P. Aguilera, Long Borel Games, 2018. Forthcoming.

3. J. P. Aguilera, Shortening Clopen Games, 2018. Forthcoming.

4. Equivalence of two strong forms of determinacy;Blass, Andreas;Proc. Amer. Math. Soc.,1975

5. Springer Monographs in Mathematics;Kanamori, Akihiro,2009

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1. GAMES AND INDUCTION ON REALS;The Journal of Symbolic Logic;2021-09-13

2. Projective Games on the Reals;Notre Dame Journal of Formal Logic;2020-11-01

3. GAMES AND REFLECTION IN;The Journal of Symbolic Logic;2020-07-21

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