On a Fragment of the Universal Baire Property for Sigma^1_2 Sets
| dc.creator | Zoble, Stuart | |
| dc.date | 2006-03-22 | |
| dc.date | 2006-03-29 | |
| dc.date.accessioned | 2026-07-07T07:07:10Z | |
| dc.date.available | 2026-07-07T07:07:10Z | |
| dc.description | There is a well-known global equivalence between Σ^1_2 sets having the Universal Baire property, two-step Σ^1_3 generic absoluteness, and the closure of the universe under the sharp operation. In this note, we determine the exact consistency strength of Σ^1_2 sets being (2^ω)^{+}-cc Universally Baire, which is below 0^{#}. In a model obtained, there is a Σ^1_2 set which is weakly ω_2-Universally Baire but not ω_2-Universally Baire. | |
| dc.identifier | https://arxiv.org/abs/math/0603540 | |
| dc.identifier | http://arxiv.org/abs/math/0603540 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110291 | |
| dc.subject | Logic | |
| dc.subject | 03E45 | |
| dc.title | On a Fragment of the Universal Baire Property for Sigma^1_2 Sets | |
| dc.type | text |