Hod In Natural Models Of Ad+

Annals of Pure and Applied Logic 165 (10):1533-1556 (2014)
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Abstract

The goal of this paper is to compute the full HOD of models of AD+AD+ of the form L)L) below “ADR+ΘADR+Θ is regular”. As part of this computation, we give a computation of HOD|ΘHOD|Θ left open in [3] for Θ a successor in the Solovay sequence. Our work, when combined with [3], shows that in AD+AD+ models of the form L)L) below “ADR+ΘADR+Θ is regular”, HOD satisfies GCHGCH

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Citations of this work

Hod up to A D R + Θ is measurable.Rachid Atmai & Grigor Sargsyan - 2019 - Annals of Pure and Applied Logic 170 (1):95-108.
Supercompactness Can Be Equiconsistent with Measurability.Nam Trang - 2021 - Notre Dame Journal of Formal Logic 62 (4):593-618.

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References found in this work

Scales in K(R) at the End of a Weak Gap.J. R. Steel - 2008 - Journal of Symbolic Logic 73 (2):369 - 390.
Scales in K at the end of a weak gap.J. R. Steel - 2008 - Journal of Symbolic Logic 73 (2):369-390.

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