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Determinacy for games ending at the first admissible relative to the play

Published online by Cambridge University Press:  12 March 2014

Itay Neeman
Itay Neeman*
Affiliation:
University of CaliforniaLos Angeles, Department of Mathematics, Los Angeles, CA 90095-1555, USA. E-mail: ineeman@math.ucla.edu
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Abstract

Let o(k) denote the Mitchell order of k. We show how to reduce long games which run to the first ordinal admissible in the play, to iteration games on models with a cardinal k so that (1) k is a limit of Woodin cardinals: and (2) o(k) = k++. We use the reduction to derive several optimal determinacy results on games which run to the first admissible in the play.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 71 , Issue 2 , June 2006 , pp. 425 - 459
Copyright
Copyright © Association for Symbolic Logic 2006

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References

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