Projective absoluteness for Sacks forcing
| Authors | |
|---|---|
| Publication date | 2009 |
| Journal | Archive for Mathematical Logic |
| Volume | Issue number | 48 | 7 |
| Pages (from-to) | 679-690 |
| Organisations |
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| Abstract | We show that Sigma(1)(3)-absoluteness for Sacks forcing is equivalent to the nonexistence of a Delta(1)(2) Bernstein set. We also show that Sacks forcing is the weakest forcing notion among all of the preorders that add a new real with respect to Sigma(1)(3) forcing absoluteness. |
| Document type | Article |
| Published at | https://doi.org/10.1007/s00153-009-0143-5 |
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