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- W1644152169 abstract "We study a strengthening of Bounded Martin's Maximum which asserts that if a Sigma_1 fact holds of omega_2^V in a stationary set preserving extension then it holds in V for a stationary set of ordinals less than omega_2. We show that this principle implies Global Projective Determinacy, and therefore does not hold in the mathbb{P}_{max} model for mathsf{BMM}, but that the restriction of this principle to forcings which render omega_2^V countably cofinal does hold in the mathsf{BMM} model, though it is not a consequence of mathsf{BMM}." @default.
- W1644152169 created "2016-06-24" @default.
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- W1644152169 date "2008-12-07" @default.
- W1644152169 modified "2023-09-27" @default.
- W1644152169 title "Bounded Martin's Maximum with Many Witnesses" @default.
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