Tools
Tools
Haykazyan, Levon and Kirby, Jonathan 
ORCID: https://orcid.org/0000-0003-4031-9107
(2021)
Existentially closed exponential fields.
Israel Journal of Mathematics, 241.
89–117.
ISSN 0021-2172
Preview |
PDF (Preprint version)
- Draft Version
Download (319kB) | Preview |
Preview |
PDF (1812.08271v2)
- Accepted Version
Download (279kB) | Preview |
Abstract
We characterise the existentially closed models of the theory of exponential fields. They do not form an elementary class, but can be studied using positive logic. We find the amalgamation bases and characterise the types over them. We define a notion of independence and show that independent systems of higher dimension can also be amalgamated. We extend some notions from classification theory to positive logic and position the category of existentially closed exponential fields in the stability hierarchy as NSOP1 but TP2.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | logic ,/dk/atira/pure/subjectarea/asjc/2600/2609 |
| Faculty \ School: | Faculty of Science > School of Mathematics |
| UEA Research Groups: | Faculty of Science > Research Groups > Logic |
| Related URLs: | |
| Depositing User: | LivePure Connector |
| Date Deposited: | 13 Nov 2019 09:30 |
| Last Modified: | 26 Mar 2023 06:30 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/72947 |
| DOI: | 10.1007/s11856-021-2089-1 |
Downloads
Downloads per month over past year
Actions (login required)
 |
View Item |