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Turing determinacy and the continuum hypothesis |
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| Authors: | Ramez L Sami |
| Institution: | (1) Department of Mathematics, Faculty of Science, Cairo University, Cairo, Egypt;(2) U.F.R. de Mathématiques, Université Paris VII, F-75251 Paris Cedex 05, France |
| Abstract: | From the hypothesis that all Turing closed games are determined we prove: (1) the Continuum Hypothesis and (2) every subset of  1 is constructible from a real. |
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