Shelah's Categoricity Conjecture from a successor for Tame Abstract Elementary Classes
| dc.creator | Grossberg, Rami | |
| dc.creator | VanDieren, Monica | |
| dc.date | 2005-09-16 | |
| dc.date | 2005-09-19 | |
| dc.date.accessioned | 2026-07-07T06:18:09Z | |
| dc.date.available | 2026-07-07T06:18:09Z | |
| dc.description | Let K be an Abstract Elemenetary Class satisfying the amalgamation and the joint embedding property, let μbe the Hanf number of K. Suppose K is tame. MAIN COROLLARY: (ZFC) If K is categorical in a successor cardinal bigger than \beth_{(2^μ)^+} then K is categorical in all cardinals greater than \beth_{(2^μ)^+}. This is an improvment of a Theorem of Makkai and Shelah ([Sh285] who used a strongly compact cardinal for the same conclusion) and Shelah's downward categoricity theorem for AECs with amalgamation (from [Sh394]). | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509387 | |
| dc.identifier | http://arxiv.org/abs/math/0509387 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94638 | |
| dc.subject | Logic | |
| dc.subject | 03C35;03C45;03C75 | |
| dc.title | Shelah's Categoricity Conjecture from a successor for Tame Abstract Elementary Classes | |
| dc.type | text |