Aslanyan, V, Henderson, R, Kamsma, M et al. (1 more author) (2023) Independence relations for exponential fields. Annals of Pure and Applied Logic, 174 (8). 103288. ISSN 0168-0072
Abstract
We give four different independence relations on any exponential field. Each is a canonical independence relation on a suitable Abstract Elementary Class of exponential fields, showing that two of these are NSOP1-like and non-simple, a third is stable, and the fourth is the quasiminimal pregeometry of Zilber's exponential fields, previously known to be stable (and uncountably categorical). We also characterise the fourth independence relation in terms of the third, strong independence.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2023 The Author(s). This is an open access article under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. |
Keywords: | Independence relation, Exponential field, Abstract elementary class, Ax-Schanuel, Classification theory |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 03 Jul 2023 12:59 |
Last Modified: | 03 Jul 2023 12:59 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.apal.2023.103288 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:200481 |