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A Diamond Principle Consistent with AD
Notre Dame Journal of Formal Logic 58 (3):397-407 (2017)
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.Links
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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.
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.
A covering lemma for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${K(\mathbb {R})}$$\end{document}. [REVIEW]Daniel W. Cunningham - 2007 - Archive for Mathematical Logic 46 (3-4):197-221.
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