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Axiom I_0 and higher degree theory

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A Solovay-like model at $\aleph_\omega$

math.LO · 2025-09-23 · unverdicted · novelty 8.0

From large cardinals, constructs a model where aleph_omega is strong limit, L(P(aleph_omega)) has aleph_omega-PSP, no scales, SCH and AP fail, TP holds at aleph_omega+1, answering Woodin's question on SCH vs AP.

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  • A Solovay-like model at $\aleph_\omega$ math.LO · 2025-09-23 · unverdicted · none · ref 24

    From large cardinals, constructs a model where aleph_omega is strong limit, L(P(aleph_omega)) has aleph_omega-PSP, no scales, SCH and AP fail, TP holds at aleph_omega+1, answering Woodin's question on SCH vs AP.