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Generalized Prikry forcing and iteration of generic ultrapowers

✍ Scribed by Hiroshi Sakai

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
271 KB
Volume
51
Category
Article
ISSN
0044-3050

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✦ Synopsis

Abstract

It is known that there is a close relation between Prikry forcing and the iteration of ultrapowers: If U is a normal ultrafilter on a measurable cardinal ΞΊ and γ€ˆM~n~, j~m,n~ | m ≀ n ≀ ω〉 is the iteration of ultrapowers of V by U, then the sequence of critical points γ€ˆj~0,n~(ΞΊ) | n ∈ ω〉 is a Prikry generic sequence over M~Ο‰~. In this paper we generalize this for normal precipitous filters. (Β© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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