Canonical seeds and Prikry trees

Journal of Symbolic Logic 62 (2):373-396 (1997)
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
Andreas Blass (1988). Selective Ultrafilters and Homogeneity. Annals of Pure and Applied Logic 38 (3):215-255.
Patrick Dehornoy (1978). Iterated Ultrapowers and Prikry Forcing. Annals of Mathematical Logic 15 (2):109-160.

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Joel David Hamkins (2000). The Lottery Preparation. Annals of Pure and Applied Logic 101 (2-3):103-146.
Joel David Hamkins (1998). Destruction or Preservation as You Like It. Annals of Pure and Applied Logic 91 (2-3):191-229.

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