Ordered fields dense in their real closure and definable convex valuations
| dc.contributor.author | Krapp, Lothar Sebastian | |
| dc.contributor.author | Kuhlmann, Salma | |
| dc.contributor.author | Lehéricy, Gabriel | |
| dc.date.accessioned | 2021-07-15T09:23:59Z | |
| dc.date.available | 2021-07-15T09:23:59Z | |
| dc.date.issued | 2021 | eng |
| dc.description.abstract | In this paper, we undertake a systematic model- and valuation-theoretic study of the class of orderedfields which are dense in their real closure. We apply this study to determine definable henselian valua-tions on ordered fields, in the language of ordered rings. In light of our results, we re-examine the Shelah–Hasson Conjecture (specialized to ordered fields) and provide an example limiting its valuation-theoretic conclusions. | eng |
| dc.description.version | published | eng |
| dc.identifier.doi | 10.1515/forum-2020-0030 | eng |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/54309 | |
| dc.language.iso | eng | eng |
| dc.rights | terms-of-use | |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | |
| dc.subject | Regular densely ordered abelian groups, convex subgroups, henselian valuations, almost realclosed fields, Hahn groups and fields, normal integer parts, strongly NIP ordered fields | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Ordered fields dense in their real closure and definable convex valuations | eng |
| dc.type | JOURNAL_ARTICLE | eng |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Krapp2021Order-54309,
year={2021},
doi={10.1515/forum-2020-0030},
title={Ordered fields dense in their real closure and definable convex valuations},
number={4},
volume={33},
issn={0933-7741},
journal={Forum Mathematicum},
pages={953--972},
author={Krapp, Lothar Sebastian and Kuhlmann, Salma and Lehéricy, Gabriel}
} | |
| kops.citation.iso690 | KRAPP, Lothar Sebastian, Salma KUHLMANN, Gabriel LEHÉRICY, 2021. Ordered fields dense in their real closure and definable convex valuations. In: Forum Mathematicum. De Gruyter. 2021, 33(4), pp. 953-972. ISSN 0933-7741. eISSN 1435-5337. Available under: doi: 10.1515/forum-2020-0030 | deu |
| kops.citation.iso690 | KRAPP, Lothar Sebastian, Salma KUHLMANN, Gabriel LEHÉRICY, 2021. Ordered fields dense in their real closure and definable convex valuations. In: Forum Mathematicum. De Gruyter. 2021, 33(4), pp. 953-972. ISSN 0933-7741. eISSN 1435-5337. Available under: doi: 10.1515/forum-2020-0030 | eng |
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