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Cardinal characteristics, projective wellorders and large continuum
Annals of Pure and Applied Logic 164 (7-8):763-770 (2013)
Abstract
We extend the work of Fischer et al. [6] by presenting a method for controlling cardinal characteristics in the presence of a projective wellorder and 2ℵ0>ℵ2. This also answers a question of Harrington [9] by showing that the existence of a Δ31 wellorder of the reals is consistent with Martinʼs axiom and 2ℵ0=ℵ3Author's Profile
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Citations of this work
Coherent systems of finite support iterations.Vera Fischer, Sy D. Friedman, Diego A. Mejía & Diana C. Montoya - 2018 - Journal of Symbolic Logic 83 (1):208-236.
The full basis theorem does not imply analytic wellordering.Vladimir Kanovei & Vassily Lyubetsky - 2021 - Annals of Pure and Applied Logic 172 (4):102929.
A good lightface Δ n 1 well-ordering of the reals does not imply the existence of boldface Δ n − 1 1 well-orderings.Vladimir Kanovei & Vassily Lyubetsky - 2024 - Annals of Pure and Applied Logic 175 (6):103426.
Co-analytic mad families and definable wellorders.Vera Fischer, Sy David Friedman & Yurii Khomskii - 2013 - Archive for Mathematical Logic 52 (7-8):809-822.
References found in this work
The Kunen-Miller chart (lebesgue measure, the baire property, Laver reals and preservation theorems for forcing).Haim Judah & Saharon Shelah - 1990 - Journal of Symbolic Logic 55 (3):909-927.
Cardinal characteristics and projective wellorders.Vera Fischer & Sy David Friedman - 2010 - Annals of Pure and Applied Logic 161 (7):916-922.
Projective wellorders and mad families with large continuum.Vera Fischer, Sy David Friedman & Lyubomyr Zdomskyy - 2011 - Annals of Pure and Applied Logic 162 (11):853-862.
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