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Definable well-orders of $H(\omega _2)$ and $GCH$
Journal of Symbolic Logic 77 (4):1101-1121 (2012)
Abstract
Assuming ${2^{{N_0}}}$ = N₁ and ${2^{{N_1}}}$ = N₂, we build a partial order that forces the existence of a well-order of H(ω₂) lightface definable over ⟨H(ω₂), Є⟩ and that preserves cardinal exponentiation and cofinalities.Author Profiles
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Citations of this work
Questions on generalised Baire spaces.Yurii Khomskii, Giorgio Laguzzi, Benedikt Löwe & Ilya Sharankou - 2016 - Mathematical Logic Quarterly 62 (4-5):439-456.
Large cardinals and definable well-orders, without the GCH.Sy-David Friedman & Philipp Lücke - 2015 - Annals of Pure and Applied Logic 166 (3):306-324.
Forcing lightface definable well-orders without the GCH.David Asperó, Peter Holy & Philipp Lücke - 2015 - Annals of Pure and Applied Logic 166 (5):553-582.
References found in this work
Large cardinals and locally defined well-orders of the universe.David Asperó & Sy-David Friedman - 2009 - Annals of Pure and Applied Logic 157 (1):1-15.
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