Iterates of M_1
Assume \boldsymbol {{\Delta }}^1_{2}-determinacy. Let L_{\kappa _3}[T_2] be the admissible closure of the Martin-Solovay tree and let M_{1,\infty } be the direct limit of all iterates of M_1 via countable trees. We show that L_{\kappa _3}[T_2] \cap V_{u_{\omega }} is the universe of M_{1,\infty } \v...
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| Veröffentlicht in: | Transactions of the American Mathematical Society 2019-12, Vol.371 (12), p.8811-8827 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Assume \boldsymbol {{\Delta }}^1_{2}-determinacy. Let L_{\kappa _3}[T_2] be the admissible closure of the Martin-Solovay tree and let M_{1,\infty } be the direct limit of all iterates of M_1 via countable trees. We show that L_{\kappa _3}[T_2] \cap V_{u_{\omega }} is the universe of M_{1,\infty } \vert u_{\omega }. |
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| ISSN: | 0002-9947 1088-6850 |
| DOI: | 10.1090/tran/7671 |