Quasiminimal structures and excellence

Bays, Martin, Hart, Bradd, Hyttinen, Tapani, Kesala, Meeri and Kirby, Jonathan ORCID: https://orcid.org/0000-0003-4031-9107 (2014) Quasiminimal structures and excellence. Bulletin of the London Mathematical Society, 46 (1). pp. 155-163. ISSN 0024-6093

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Abstract

We show that the excellence axiom in the definition of Zilber's quasiminimal excellent classes is redundant, in that it follows from the other axioms. This substantially simplifies a number of categoricity proofs.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups: Faculty of Science > Research Groups > Logic (former - to 2024) > Logic (Model Theory, Set Theory) (former - to 2013)
Faculty of Science > Research Groups > Logic (former - to 2024)
Faculty of Science > Research Groups > Algebra, Logic & Number Theory
Depositing User: Pure Connector
Date Deposited: 01 Oct 2013 00:55
Last Modified: 07 Nov 2024 12:37
URI: https://ueaeprints.uea.ac.uk/id/eprint/43472
DOI: 10.1112/blms/bdt076

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