Existentially closed exponential fields

Haykazyan, Levon and Kirby, Jonathan (2021) Existentially closed exponential fields. Israel Journal of Mathematics, 241. 89–117. ISSN 0021-2172

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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 (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Logic (former - to 2024) Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
Related URLs:	http://www.scopus.com/inward/record.url?...
Depositing User:	LivePure Connector
Date Deposited:	13 Nov 2019 09:30
Last Modified:	05 Jul 2025 23:51
URI:	https://ueaeprints.uea.ac.uk/id/eprint/72947
DOI:	10.1007/s11856-021-2089-1

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