Transferring saturation, the finite cover property, and stability
| dc.creator | Baldwin, J. | |
| dc.creator | Grossberg, R. | |
| dc.creator | Shelah, Saharon | |
| dc.date | 1995-11-30 | |
| dc.date | 1998-07-09 | |
| dc.date.accessioned | 2026-07-07T09:04:43Z | |
| dc.date.available | 2026-07-07T09:04:43Z | |
| dc.description | Saturation is (mu,kappa)-transferable in T if and only if there is an expansion T_1 of T with |T_1| = |T| such that if M is a mu-saturated model of T_1 and |M| \geq kappa then the reduct M|L(T) is kappa-saturated. We characterize theories which are superstable without the finite cover property (f.c.p.), or without f.c.p. as, respectively those where saturation is (aleph_0,lambda)-transferable or (kappa(T),lambda)-transferable for all lambda. Further if for some mu \geq |T|, 2^mu > mu^+, stability is equivalent to: or all mu \geq |T|, saturation is (μ,2^mu)-transferable. | |
| dc.description | This version replaces the 1995 submission: Characterization of the finite cover property and stability. This version submitted by John T. Baldwin. The paper has been accepted for the Journal of Symbolic Logic | |
| dc.identifier | https://arxiv.org/abs/math/9511205 | |
| dc.identifier | http://arxiv.org/abs/math/9511205 | |
| dc.identifier | J. Symbolic Logic 64 No. 2 (1999) 678--684 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149481 | |
| dc.subject | Logic | |
| dc.title | Transferring saturation, the finite cover property, and stability | |
| dc.type | text |