Turing determinacy and the continuum hypothesis (Q1824617)

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scientific article; zbMATH DE number 4118363
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English
Turing determinacy and the continuum hypothesis
scientific article; zbMATH DE number 4118363

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    Turing determinacy and the continuum hypothesis (English)
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    1989
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    If the axiom of determinacy for Turing closed sets is assumed, then every uncountable set of reals is of cardinality continuum and every subset of \(\omega_ 1\) is constructible from some real. Some interesting open problems are mentioned.
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    Turing degree
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    axiom of determinacy
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    Turing closed sets
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