@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#> .

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              That is, given a compact set $B \\subset \\mathbb{R}^n$ (the boundary) and a subgroup $L$ of the \\v{C}ech homology group $\\check{H}_{d-1}(B;G)$ of dimension $d$ over some commutative group $G$, we find a compact set $E \\supset B$ such that the image of $L$ by the natural map $\\check{H}_{d-1}(B;G)\\to\\check{H}_{d-1}(S;G)$ induced by the inclusion $B \\to E$, is reduced to $\\{ 0 \\}$, and such that the Hausdorff measure $\\mathcal{H}^{d}(E \\setminus B)$ is minimal under these constraints. Thus we have no restriction on the group $G$ or the dimensions $0 < d < n$.
            """ ;
    dct:identifier "hal-00874174" ;
    dct:issued "2026-05-07T07:39:58.383517"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-07T07:39:58.383522"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Existence of Minimizers for the Reifenberg Plateau problem" ;
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    dcat:keyword "infoeu-reposemanticspreprint",
        "mathmath-camathematics-mathclassical-analysis-and-odes-mathca",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00874174> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00874174v2/resource/288e62c1-4d5b-40df-b97e-7b0bbc8d7e93> a dcat:Distribution ;
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    dct:issued "2026-05-07T07:39:58.384572"^^xsd:dateTime ;
    dct:modified "2026-05-07T07:39:58.377715"^^xsd:dateTime ;
    dct:title "Existence of Minimizers for the Reifenberg Plateau problem" ;
    dcat:accessURL <https://hal.science/hal-00874174> .

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