Beyond $\underTildeΣ^2_1$ absoluteness
| dc.creator | Woodin, W. Hugh | |
| dc.date | 2002-12-01 | |
| dc.date.accessioned | 2026-07-07T04:54:11Z | |
| dc.date.available | 2026-07-07T04:54:11Z | |
| dc.description | There have been many generalizations of Shoenfield's Theorem on the absoluteness of $Σ^1_2$ sentences between uncountable transitive models of $\mathrm{ZFC}$. One of the strongest versions currently known deals with $Σ^2_1$ absoluteness conditioned on $\mathrm{CH}$. For a variety of reasons, from the study of inner models and from simply combinatorial set theory, the question of whether conditional $Σ^2_2$ absoluteness is possible at all, and if so, what large cardinal assumptions are involved and what sentence(s) might play the role of $\mathrm{CH}$, are fundamental questions. This article investigates the possiblities for $Σ^2_2$ absoluteness by extending the connections between determinacy hypotheses and absoluteness hypotheses. | |
| dc.identifier | https://arxiv.org/abs/math/0212406 | |
| dc.identifier | http://arxiv.org/abs/math/0212406 | |
| dc.identifier | Proceedings of the ICM, Beijing 2002, vol. 1, 515--524 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66145 | |
| dc.subject | Logic | |
| dc.subject | 03E45, 03E55, 03E10,04A10, 04A13 | |
| dc.title | Beyond $\underTildeΣ^2_1$ absoluteness | |
| dc.type | text |