Embedding the prime model of real exponentiation into o-minimal exponential fields
| dc.contributor.author | Krapp, Lothar Sebastian | |
| dc.date.accessioned | 2024-01-05T08:10:37Z | |
| dc.date.available | 2024-01-05T08:10:37Z | |
| dc.date.issued | 2024-03 | |
| dc.description.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. | |
| dc.description.version | published | deu |
| dc.identifier.doi | 10.1112/blms.12972 | |
| dc.identifier.ppn | 1902526619 | |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/68933 | |
| dc.language.iso | eng | |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject.ddc | 510 | |
| dc.title | Embedding the prime model of real exponentiation into o-minimal exponential fields | eng |
| dc.type | JOURNAL_ARTICLE | |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @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}
} | |
| kops.citation.iso690 | 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.12972 | deu |
| kops.citation.iso690 | 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), pp. 907-913. ISSN 0024-6093. eISSN 1469-2120. Available under: doi: 10.1112/blms.12972 | eng |
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