A Delta^2_2 well-order of the reals and incompactness of L(Q^{MM})
| dc.creator | Abraham, Uri | |
| dc.creator | Shelah, Saharon | |
| dc.date | 1998-12-18 | |
| dc.date.accessioned | 2026-07-07T05:27:18Z | |
| dc.date.available | 2026-07-07T05:27:18Z | |
| dc.description | A forcing poset of size 2^{2^{aleph_1}} which adds no new reals is described and shown to provide a Delta^2_2 definable well-order of the reals (in fact, any given relation of the reals may be so encoded in some generic extension). The encoding of this well-order is obtained by playing with products of Aronszajn trees: Some products are special while other are Suslin trees. The paper also deals with the Magidor-Malitz logic: it is consistent that this logic is highly non compact. | |
| dc.identifier | https://arxiv.org/abs/math/9812115 | |
| dc.identifier | http://arxiv.org/abs/math/9812115 | |
| dc.identifier | Ann. Pure Appl. Logic 59 (1993), 1--32 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77870 | |
| dc.subject | Logic | |
| dc.title | A Delta^2_2 well-order of the reals and incompactness of L(Q^{MM}) | |
| dc.type | text |