"uppersemilattice" meaning in All languages combined

See uppersemilattice on Wiktionary

Noun [English]

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 Topics: mathematics, sciences

Inflected forms

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  "senses": [
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          "name": "Mathematics",
          "orig": "en:Mathematics",
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            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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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 #x5C;mathcal#x7B;M#x7D; and #x5C;mathcal#x7B;N#x7D;, where #x5C;mathcal#x7B;M#x7D; is a subuppersemilattice of #x5C;mathcal#x7B;N#x7D;, then for both degree structures, every embedding of #x5C;mathcal#x7B;M#x7D; into the structure extends to one of #x5C;mathcal#x7B;N#x7D; iff #x5C;mathcal#x7B;N#x7D; is an end-extension of #x5C;mathcal#x7B;M#x7D;.",
          "type": "quote"
        }
      ],
      "glosses": [
        "The upper subset of a semilattice"
      ],
      "id": "en-uppersemilattice-en-noun-k0Ug9Ty5",
      "links": [
        [
          "mathematics",
          "mathematics"
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        [
          "upper",
          "upper"
        ],
        [
          "subset",
          "subset"
        ],
        [
          "semilattice",
          "semilattice"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The upper subset of a semilattice"
      ],
      "synonyms": [
        {
          "word": "upper semilattice"
        }
      ],
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  "word": "uppersemilattice"
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  "senses": [
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      "examples": [
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          "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 #x5C;mathcal#x7B;M#x7D; and #x5C;mathcal#x7B;N#x7D;, where #x5C;mathcal#x7B;M#x7D; is a subuppersemilattice of #x5C;mathcal#x7B;N#x7D;, then for both degree structures, every embedding of #x5C;mathcal#x7B;M#x7D; into the structure extends to one of #x5C;mathcal#x7B;N#x7D; iff #x5C;mathcal#x7B;N#x7D; is an end-extension of #x5C;mathcal#x7B;M#x7D;.",
          "type": "quote"
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          "upper",
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          "semilattice",
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        ]
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      "raw_glosses": [
        "(mathematics) The upper subset of a semilattice"
      ],
      "topics": [
        "mathematics",
        "sciences"
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  "synonyms": [
    {
      "word": "upper semilattice"
    }
  ],
  "word": "uppersemilattice"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). 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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