"uppersemilattice" meaning in English

See uppersemilattice in All languages combined, or Wiktionary

Noun

Forms: uppersemilattices [plural]
Head templates: {{en-noun}} uppersemilattice (plural uppersemilattices)
  1. (mathematics) The upper subset of a semilattice Categories (topical): Mathematics Synonyms: upper semilattice
    Sense id: en-uppersemilattice-en-noun-k0Ug9Ty5 Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences

Inflected forms

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            "Formal sciences",
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      "examples": [
        {
          "ref": "2016, James Barnes, “On the decidability of the Σ₂ theories of the arithmetic and hyperarithmetic degrees as uppersemilattices”, in arXiv:",
          "text": "This is achieved by using Kumabe-Slaman forcing - along with other known results - to show that given finite uppersemilattices #92;mathcal#123;M#125; and #92;mathcal#123;N#125;, where #92;mathcal#123;M#125; is a subuppersemilattice of #92;mathcal#123;N#125;, then for both degree structures, every embedding of #92;mathcal#123;M#125; into the structure extends to one of #92;mathcal#123;N#125; iff #92;mathcal#123;N#125; is an end-extension of #92;mathcal#123;M#125;.",
          "type": "quote"
        }
      ],
      "glosses": [
        "The upper subset of a semilattice"
      ],
      "id": "en-uppersemilattice-en-noun-k0Ug9Ty5",
      "links": [
        [
          "mathematics",
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        [
          "upper",
          "upper"
        ],
        [
          "subset",
          "subset"
        ],
        [
          "semilattice",
          "semilattice"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The upper subset of a semilattice"
      ],
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          "word": "upper semilattice"
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          "text": "This is achieved by using Kumabe-Slaman forcing - along with other known results - to show that given finite uppersemilattices #92;mathcal#123;M#125; and #92;mathcal#123;N#125;, where #92;mathcal#123;M#125; is a subuppersemilattice of #92;mathcal#123;N#125;, then for both degree structures, every embedding of #92;mathcal#123;M#125; into the structure extends to one of #92;mathcal#123;N#125; iff #92;mathcal#123;N#125; is an end-extension of #92;mathcal#123;M#125;.",
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    {
      "word": "upper semilattice"
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-20 from the enwiktionary dump dated 2025-01-01 using wiktextract (ee63ee9 and 4230888). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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