@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00407559v2> a dcat:Dataset ;
    dct:description """
              We study model theoretic properties of valued fields (equipped with a real-valued multiplicative valuation), viewed as metric structures in continuous first order logic. For technical reasons we prefer to consider not the valued field $(K,|{\\cdot}|)$ directly, but rather the associated projective spaces $K\\bP^n$, as bounded metric structures. We show that the class of (projective spaces over) metric valued fields is elementary, with theory $MVF$, and that the projective spaces $\\bP^n$ and $\\bP^m$ are biïnterpretable for every $n,m \\geq 1$. The theory $MVF$ admits a model completion $ACMVF$, the theory of algebraically closed metric valued fields (with a non trivial valuation). This theory is strictly stable (even up to perturbation). Similarly, we show that the theory of real closed metric valued fields, $RCMVF$, is the model companion of the theory of formally real metric valued fields, and that it is dependent.
            """ ;
    dct:identifier "hal-00407559" ;
    dct:issued "2026-05-11T04:55:37.710793"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-11T04:55:37.710796"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Model theoretic properties of metric valued fields" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00407559v2/resource/bdb6eeca-b9ce-448c-86b0-e482781772ea> ;
    dcat:keyword "03c90--03c60--03c64",
        "infoeu-reposemanticspreprint",
        "mathmath-lomathematics-mathlogic-mathlo",
        "metric-structure",
        "preprints-working-papers-",
        "real-closed-field",
        "valued-field" ;
    dcat:landingPage <https://hal.science/hal-00407559> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00407559v2/resource/bdb6eeca-b9ce-448c-86b0-e482781772ea> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-11T04:55:37.724155"^^xsd:dateTime ;
    dct:modified "2026-05-11T04:55:37.697507"^^xsd:dateTime ;
    dct:title "Model theoretic properties of metric valued fields" ;
    dcat:accessURL <https://hal.science/hal-00407559> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
    foaf:name "test_moissonnage_selune" .

<https://hal.science/hal-00407559> a foaf:Document .