@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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              Let X be a finite set. This paper describes some topological and combinatorial properties of the poset \\Omega_X of order relations on X. In particular, the homotopy type of all the intervals in \\Omega_X is precisely determined, and the Möbius function of \\Omega_X is computed.
            """ ;
    dct:identifier "hal-00881858" ;
    dct:issued "2026-05-09T02:14:27.319032"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-09T02:14:27.319037"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "The poset of posets" ;
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    dcat:keyword "06a11-05e45-55u10",
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        "mathmath-comathematics-mathcombinatorics-mathco",
        "mathmath-grmathematics-mathgroup-theory-mathgr",
        "mobius-function",
        "order",
        "poset",
        "reports" ;
    dcat:landingPage <https://hal.science/hal-00881858> .

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    dct:issued "2026-05-09T02:14:27.335683"^^xsd:dateTime ;
    dct:modified "2026-05-09T02:14:27.303061"^^xsd:dateTime ;
    dct:title "The poset of posets" ;
    dcat:accessURL <https://hal.science/hal-00881858> .

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<https://hal.science/hal-00881858> a foaf:Document .