Value Groups and Residue Fields of Models of Real Exponentiation
| dc.contributor.author | Krapp, Lothar Sebastian | |
| dc.date.accessioned | 2021-08-24T10:18:38Z | |
| dc.date.available | 2021-08-24T10:18:38Z | |
| dc.date.issued | 2019 | eng |
| dc.description.abstract | Let F be an archimedean field, G a divisible ordered abelian group and h a group exponential on G. A triple (F,G,h) is realised in a non-archimedean exponential field (K,exp) if the residue field of K under the natural valuation is F and the induced exponential group of (K,exp) is (G,h). We give a full characterisation of all triples (F,G,h) which can be realised in a model of real exponentiation in the following two cases: i) G is countable. ii) G is of cardinality kappa and kappa-saturated for an uncountable regular cardinal kappa with kappa^( | eng |
| dc.description.version | published | eng |
| dc.identifier.arxiv | 1803.03153v4 | eng |
| dc.identifier.doi | 10.4115/jla.2019.11.1 | eng |
| dc.identifier.ppn | 1767726694 | |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/54697 | |
| dc.language.iso | eng | eng |
| dc.rights | terms-of-use | |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | |
| dc.subject | real exponentiation, exponential fields, exponential groups, Ominimal theories, formal power series | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Value Groups and Residue Fields of Models of Real Exponentiation | eng |
| dc.type | JOURNAL_ARTICLE | eng |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Krapp2019Value-54697,
year={2019},
doi={10.4115/jla.2019.11.1},
title={Value Groups and Residue Fields of Models of Real Exponentiation},
number={1},
volume={11},
issn={1759-9008},
journal={Journal of Logic & Analysis},
author={Krapp, Lothar Sebastian}
} | |
| kops.citation.iso690 | KRAPP, Lothar Sebastian, 2019. Value Groups and Residue Fields of Models of Real Exponentiation. In: Journal of Logic & Analysis. Department of Philosophy, Carnegie Mellon University. 2019, 11(1). ISSN 1759-9008. Available under: doi: 10.4115/jla.2019.11.1 | deu |
| kops.citation.iso690 | KRAPP, Lothar Sebastian, 2019. Value Groups and Residue Fields of Models of Real Exponentiation. In: Journal of Logic & Analysis. Department of Philosophy, Carnegie Mellon University. 2019, 11(1). ISSN 1759-9008. Available under: doi: 10.4115/jla.2019.11.1 | eng |
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<dcterms:abstract xml:lang="eng">Let F be an archimedean field, G a divisible ordered abelian group and h a group exponential on G. A triple (F,G,h) is realised in a non-archimedean exponential field (K,exp) if the residue field of K under the natural valuation is F and the induced exponential group of (K,exp) is (G,h). We give a full characterisation of all triples (F,G,h) which can be realised in a model of real exponentiation in the following two cases: i) G is countable. ii) G is of cardinality kappa and kappa-saturated for an uncountable regular cardinal kappa with kappa^(<kappa) = kappa.</dcterms:abstract>
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| kops.description.openAccess | openaccessgold | eng |
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| kops.identifier.nbn | urn:nbn:de:bsz:352-2-emrbxdy6djw62 | |
| kops.sourcefield | Journal of Logic & Analysis. Department of Philosophy, Carnegie Mellon University. 2019, <b>11</b>(1). ISSN 1759-9008. Available under: doi: 10.4115/jla.2019.11.1 | deu |
| kops.sourcefield.plain | Journal of Logic & Analysis. Department of Philosophy, Carnegie Mellon University. 2019, 11(1). ISSN 1759-9008. Available under: doi: 10.4115/jla.2019.11.1 | deu |
| kops.sourcefield.plain | Journal of Logic & Analysis. Department of Philosophy, Carnegie Mellon University. 2019, 11(1). ISSN 1759-9008. Available under: doi: 10.4115/jla.2019.11.1 | eng |
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| source.publisher | Department of Philosophy, Carnegie Mellon University | eng |
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