Minimal coding (Q1117220)

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scientific article; zbMATH DE number 4091492
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Minimal coding
scientific article; zbMATH DE number 4091492

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    Minimal coding (English)
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    1989
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    It is shown that the real in Jensen's coding theorem can be minimal over the model to be coded. The almost-disjoint forcing part in Jensen's proof is replaced by some kind of perfect set forcing. Before giving the rather involved proof the author gives the special cases when the set to be minimally coded is a subset of \(\omega_ 1\), \(\omega_ 2\), or \(\omega_{\omega +1}\), respectively.
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    forcing by perfect trees
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    adding minimal reals
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    Jensen's coding theorem
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