Canonical seeds and Prikry trees

Journal of Symbolic Logic 62 (2):373-396 (1997)
Abstract
Applying the seed concept to Prikry tree forcing P μ , I investigate how well P μ preserves the maximality property of ordinary Prikry forcing and prove that P μ Prikry sequences are maximal exactly when μ admits no non-canonical seeds via a finite iteration. In particular, I conclude that if μ is a strongly normal supercompactness measure, then P μ Prikry sequences are maximal, thereby proving, for a large class of measures, a conjecture of W. Hugh Woodin's
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DOI 10.2307/2275538
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References found in this work BETA
Selective Ultrafilters and Homogeneity.Andreas Blass - 1988 - Annals of Pure and Applied Logic 38 (3):215-255.
Iterated Ultrapowers and Prikry Forcing.Patrick Dehornoy - 1978 - Annals of Mathematical Logic 15 (2):109-160.

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Citations of this work BETA
The Lottery Preparation.Joel David Hamkins - 2000 - Annals of Pure and Applied Logic 101 (2-3):103-146.
Destruction or Preservation as You Like It.Joel David Hamkins - 1998 - Annals of Pure and Applied Logic 91 (2-3):191-229.
The Large Cardinals Between Supercompact and Almost-Huge.Norman Lewis Perlmutter - 2015 - Archive for Mathematical Logic 54 (3-4):257-289.
The Axiom of Infinity and Transformations J: V→V.Paul Corazza - 2010 - Bulletin of Symbolic Logic 16 (1):37-84.

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