A Diamond Principle Consistent with AD

Notre Dame Journal of Formal Logic 58 (3):397-407 (2017)
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Abstract

We present a diamond principle ◊R concerning all subsets of Θ, the supremum of the ordinals that are the surjective image of R. We prove that ◊R holds in Steel’s core model K, a canonical inner model for determinacy.

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10.1215/00294527-2017-0008

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Citations of this work

A diamond-plus principle consistent with AD.Daniel W. Cunningham - 2020 - Archive for Mathematical Logic 59 (5-6):755-775.

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References found in this work

Combinatorial principles in the core model for one Woodin cardinal.Ernest Schimmerling - 1995 - Annals of Pure and Applied Logic 74 (2):153-201.
The fine structure of the constructible hierarchy.R. Björn Jensen - 1972 - Annals of Mathematical Logic 4 (3):229.
Generic relativizations of fine structure.Kai Hauser - 2000 - Archive for Mathematical Logic 39 (4):227-251.

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