September 2013 On the prewellorderings associated with the directed systems of mice
Grigor Sargsyan
J. Symbolic Logic 78(3): 735-763 (September 2013). DOI: 10.2178/jsl.7803030

Abstract

Working under $AD$, we investigate the length of prewellorderings given by the iterates of $\mathcal{M}_{2k+1}$, which is the minimal proper class mouse with $2k+1$ many Woodin cardinals. In particular, we answer some questions from [4] (the discussion of the questions appears in the last section of [2]).

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Grigor Sargsyan. "On the prewellorderings associated with the directed systems of mice." J. Symbolic Logic 78 (3) 735 - 763, September 2013. https://doi.org/10.2178/jsl.7803030

Information

Published: September 2013
First available in Project Euclid: 6 January 2014

zbMATH: 1315.03087
MathSciNet: MR3135496
Digital Object Identifier: 10.2178/jsl.7803030

Subjects:
Primary: 03E15, 03E45, 03E60.

Keywords: Game Quantifier , Mouse , Prewellorderings , projective ordinals , Woodin cardinals

Rights: Copyright © 2013 Association for Symbolic Logic

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Vol.78 • No. 3 • September 2013
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