Proper forcing and $L({\mathbb R})$
| dc.creator | Neeman, Itay | |
| dc.creator | Zapletal, Jindrich | |
| dc.date | 2000-03-03 | |
| dc.date.accessioned | 2026-07-07T04:34:12Z | |
| dc.date.available | 2026-07-07T04:34:12Z | |
| dc.description | We present two ways in which the model $L({\mathbb R})$ is canonical assuming the existence of large cardinals. We show that the theory of this model, with {\em ordinal} parameters, cannot be changed by small forcing; we show further that a set of ordinals in $V$ cannot be added to $L({\mathbb R})$ by small forcing. The large cardinal needed corresponds to the consistency strength of $AD^{L({\mathbb R})}$; roughly $ω$ Woodin cardinals. | |
| dc.description | 14 pages, includes Appendix (pp. 10--13) | |
| dc.identifier | https://arxiv.org/abs/math/0003027 | |
| dc.identifier | http://arxiv.org/abs/math/0003027 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58809 | |
| dc.subject | Logic | |
| dc.subject | 03E55; 03E60 | |
| dc.title | Proper forcing and $L({\mathbb R})$ | |
| dc.type | text |