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Iterability for (transfinite) stacks

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Ordinal definability in $L[\mathbb{E}]$

math.LO · 2020-12-13 · unverdicted · novelty 6.0

Tame mice M modeling ZFC have V = HOD_x for a real x, E above omega_1^M definable over M, M = HOD^M[X] for X = M|omega_1^M, and no proper grounds via strategically sigma-closed forcings; partial extension to non-tame mice under extra hypothesis.

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  • Ordinal definability in $L[\mathbb{E}]$ math.LO · 2020-12-13 · unverdicted · none · ref 8

    Tame mice M modeling ZFC have V = HOD_x for a real x, E above omega_1^M definable over M, M = HOD^M[X] for X = M|omega_1^M, and no proper grounds via strategically sigma-closed forcings; partial extension to non-tame mice under extra hypothesis.