Abstract
Abstract
We show that in many extender models, e.g., the minimal one with infinitely many Woodin cardinals or the minimal with a Woodin cardinal that is a limit of Woodin cardinals, there are no generic embeddings with critical point
$\omega _1$
that resemble the stationary tower at the second Woodin cardinal. The meaning of “resemble” is made precise in the paper (see Definition 0.3).
Publisher
Cambridge University Press (CUP)
Reference22 articles.
1. [12] Schindler, R. and Steel, J. , The self-iterability of $L[E]$ , this Journal, vol. 74 (2009), no. 3, pp. 751–779.
2. Comparison of fine structural mice via coarse iteration
3. An Introduction to Core Model Theory
4. [13] Schlutzenberg, F. S. , Measures in mice , Ph.D. thesis, University of California, Berkeley, Berkeley; ProQuest LLC, Ann Arbor, 2007.
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