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A combinatorial forcing for coding the universe by a real when there are no sharps

Saharon Shelah·Lee Stanley
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Abstract

Assuming 0# does not exist, we present a combinatorial approach to Jensen's method of coding by a real. The forcing uses combinatorial consequences of fine structure (including the Covering Lemma, in various guises), but makes no direct appeal to fine structure itself.

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Saharon Shelah, Lee Stanley. 1993-11-10. A combinatorial forcing for coding the universe by a real when there are no sharps. https://arxiv.org/abs/math/9311204

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