Real closed exponential fields
| dc.contributor.author | D'Aquino, Paola | deu |
| dc.contributor.author | Knight, Julia F. | deu |
| dc.contributor.author | Kuhlmann, Salma | |
| dc.contributor.author | Lange, Karen | deu |
| dc.date.accessioned | 2013-05-27T07:25:20Z | deu |
| dc.date.available | 2013-05-27T07:25:20Z | deu |
| dc.date.issued | 2012 | |
| dc.description.abstract | Ressayre considered real closed exponential fields and “exponential” integer parts, i.e., integer parts that respect the exponential function. In 1993, he outlined a proof that every real closed exponential field has an exponential integer part. In the present paper, we give a detailed account of Ressayre's construction and then analyze the complexity. Ressayre's construction is canonical once we fix the real closed exponential field R, a residue field section k, and a well ordering ≺ on R. The construction is clearly constructible over these objects. Each step looks effective, but there may be many steps. We produce an example of an exponential field R with a residue field section k and a well ordering ≺ on R such that Dc(R) is low and k and ≺ are Δ 0 3, and Ressayre's construction cannot be completed in LωCK1. | eng |
| dc.description.version | published | |
| dc.identifier.citation | Fundamenta mathematicae ; 219 (2012), 2. - S. 163-190 | deu |
| dc.identifier.doi | 10.4064/fm219-2-6 | deu |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/23418 | |
| dc.language.iso | eng | deu |
| dc.legacy.dateIssued | 2013-05-27 | deu |
| dc.rights | terms-of-use | deu |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | deu |
| dc.subject.ddc | 510 | deu |
| dc.title | Real closed exponential fields | eng |
| dc.type | JOURNAL_ARTICLE | deu |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{DAquino2012close-23418,
year={2012},
doi={10.4064/fm219-2-6},
title={Real closed exponential fields},
number={2},
volume={219},
issn={0016-2736},
journal={Fundamenta Mathematicae},
pages={163--190},
author={D'Aquino, Paola and Knight, Julia F. and Kuhlmann, Salma and Lange, Karen}
} | |
| kops.citation.iso690 | D'AQUINO, Paola, Julia F. KNIGHT, Salma KUHLMANN, Karen LANGE, 2012. Real closed exponential fields. In: Fundamenta Mathematicae. 2012, 219(2), pp. 163-190. ISSN 0016-2736. eISSN 1730-6329. Available under: doi: 10.4064/fm219-2-6 | deu |
| kops.citation.iso690 | D'AQUINO, Paola, Julia F. KNIGHT, Salma KUHLMANN, Karen LANGE, 2012. Real closed exponential fields. In: Fundamenta Mathematicae. 2012, 219(2), pp. 163-190. ISSN 0016-2736. eISSN 1730-6329. Available under: doi: 10.4064/fm219-2-6 | eng |
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| kops.identifier.nbn | urn:nbn:de:bsz:352-234187 | deu |
| kops.sourcefield | Fundamenta Mathematicae. 2012, <b>219</b>(2), pp. 163-190. ISSN 0016-2736. eISSN 1730-6329. Available under: doi: 10.4064/fm219-2-6 | deu |
| kops.sourcefield.plain | Fundamenta Mathematicae. 2012, 219(2), pp. 163-190. ISSN 0016-2736. eISSN 1730-6329. Available under: doi: 10.4064/fm219-2-6 | deu |
| kops.sourcefield.plain | Fundamenta Mathematicae. 2012, 219(2), pp. 163-190. ISSN 0016-2736. eISSN 1730-6329. Available under: doi: 10.4064/fm219-2-6 | eng |
| kops.submitter.email | laura.liebermann@uni-konstanz.de | deu |
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| source.periodicalTitle | Fundamenta Mathematicae |
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