Simplified RCS iterations

Archive for Mathematical Logic 32 (5):341-349 (1993)
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Abstract

We give a simplified treatment of revised countable support (RCS) forcing iterations, previously considered by Shelah (see [Sh, Chap. X]). In particular we prove the fundamental theorem of semi-proper forcing, which is due to Shelah: any RCS iteration of semi-proper posets is semi-proper

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Citations of this work

Shelah's work on non-semi-proper iterations, II.Chaz Schlindwein - 2001 - Journal of Symbolic Logic 66 (4):1865-1883.
On iterating semiproper preorders.Tadatoshi Miyamoto - 2002 - Journal of Symbolic Logic 67 (4):1431-1468.

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References found in this work

Set theory.Thomas Jech - 1981 - Journal of Symbolic Logic.
Semiproper forcing axiom implies Martin maximum but not PFA+.Saharon Shelah - 1987 - Journal of Symbolic Logic 52 (2):360-367.

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