Coding with ladders a well ordering of the reals

Journal of Symbolic Logic 67 (2):579-597 (2002)
Any model of ZFC + GCH has a generic extension (made with a poset of size ℵ 2 ) in which the following hold: MA + 2 ℵ 0 = ℵ 2 +there exists a Δ 2 1 -well ordering of the reals. The proof consists in iterating posets designed to change at will the guessing properties of ladder systems on ω 1 . Therefore, the study of such ladders is a main concern of this article
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DOI 10.2178/jsl/1190150099
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David Asperó (2006). Coding by Club-Sequences. Annals of Pure and Applied Logic 142 (1):98-114.

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