Berarducci, A, Kuhlmann, S, Mantova, V orcid.org/0000-0002-8454-7315 et al. (1 more author) (2023) Exponential fields and Conway's omega-map. Proceedings of the American Mathematical Society, 152 (1). ISSN 0002-9939
Abstract
Inspired by Conway's surreal numbers, we study real closed fields whose value group is isomorphic to the additive reduct of the field. We call such fields omega-fields and we prove that any omega-field of bounded Hahn series with real coefficients admits an exponential function making it into a model of the theory of the real exponential field. We also consider relative versions with more general coefficient fields.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Copyright 2023 American Mathematical Society This article is protected by copyright. This is an author produced version of a paper accepted for publication in the Proceedings of the American Mathematical Society. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | math.LO; math.LO; Primary 03C64, Secondary 16W60 |
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: | 07 Feb 2019 10:41 |
Last Modified: | 19 Jun 2024 12:26 |
Status: | Published |
Publisher: | American Mathematical Society |
Identification Number: | 10.1090/proc/14577 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:142280 |