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On the Prewellorderings Associated with the Directed Systems of Mice

Published online by Cambridge University Press:  12 August 2016

Grigor Sargsyan
Grigor Sargsyan*
Affiliation:
Department of Mathematics, University of California, Los Angeles, California, 90095, USA, URL: http://math.ucla.edu/~grigor, E-mail: grigor@math.ucla.edu
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Abstract

Working under AD, we investigate the length of prewellorderings given by the iterates of ℳ2k+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]).

Keywords

03E1503E4503E60MouseGame QuantifierPrewellorderingsProjective OrdinalsWoodin cardinals
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 78 , Issue 3 , September 2013 , pp. 735 - 763
Copyright
Copyright © Association for Symbolic Logic 2013

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References

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