Publikation: Embedding the prime model of real exponentiation into o-minimal exponential fields
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2024
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Bulletin of the London Mathematical Society. Wiley. 2024, 56(3), S. 907-913. ISSN 0024-6093. eISSN 1469-2120. Verfügbar unter: doi: 10.1112/blms.12972
Zusammenfassung
Motivated by the decidability question for the theory of real exponentiation and by the Transfer Conjecture for o-minimal exponential fields, we show that, under the assumption of Schanuel's Conjecture, the prime model of real exponentiation is embeddable into any o-minimal exponential field, where the embedding is not necessarily elementary. This is a consequence of an unconditional model theoretic embeddability result that we obtain by applying Kőnig's Lemma.
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510 Mathematik
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KRAPP, Lothar Sebastian, 2024. Embedding the prime model of real exponentiation into o-minimal exponential fields. In: Bulletin of the London Mathematical Society. Wiley. 2024, 56(3), S. 907-913. ISSN 0024-6093. eISSN 1469-2120. Verfügbar unter: doi: 10.1112/blms.12972BibTex
@article{Krapp2024-03Embed-68933,
year={2024},
doi={10.1112/blms.12972},
title={Embedding the prime model of real exponentiation into o-minimal exponential fields},
number={3},
volume={56},
issn={0024-6093},
journal={Bulletin of the London Mathematical Society},
pages={907--913},
author={Krapp, Lothar Sebastian}
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<dcterms:abstract>Motivated by the decidability question for the theory of real exponentiation and by the Transfer Conjecture for o-minimal exponential fields, we show that, under the assumption of Schanuel's Conjecture, the prime model of real exponentiation is embeddable into any o-minimal exponential field, where the embedding is not necessarily elementary. This is a consequence of an unconditional model theoretic embeddability result that we obtain by applying Kőnig's Lemma.</dcterms:abstract>
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