"subuppersemilattice" meaning in English

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "sub",
        "3": "uppersemilattice"
      },
      "expansion": "sub- + uppersemilattice",
      "name": "prefix"
    }
  ],
  "etymology_text": "sub- + uppersemilattice",
  "forms": [
    {
      "form": "subuppersemilattices",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "subuppersemilattice (plural subuppersemilattices)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
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          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with sub-",
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
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            "Fundamental"
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          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "1988, Manuel Lerman, Richard A. Shore-, “Decidability and invariant classes for degree structures”, in Transactions of the American Mathematical Society, volume 310, number 2",
          "text": "First, given any finite subuppersemilattice U ot 3[0,0'] with top element 0' and an isomorphism type V of a poset extending U consistently with its structure as an usl such that V and U have the same top element and V is an end extension of ...",
          "type": "quotation"
        },
        {
          "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": "quotation"
        }
      ],
      "glosses": [
        "A sub-semilattice of an uppersemilattice."
      ],
      "id": "en-subuppersemilattice-en-noun-ZnqLl0LS",
      "links": [
        [
          "mathematics",
          "mathematics"
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      ],
      "raw_glosses": [
        "(mathematics) A sub-semilattice of an uppersemilattice."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "subuppersemilattice"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "sub",
        "3": "uppersemilattice"
      },
      "expansion": "sub- + uppersemilattice",
      "name": "prefix"
    }
  ],
  "etymology_text": "sub- + uppersemilattice",
  "forms": [
    {
      "form": "subuppersemilattices",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "subuppersemilattice (plural subuppersemilattices)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        "English countable nouns",
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        "en:Mathematics"
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      "examples": [
        {
          "ref": "1988, Manuel Lerman, Richard A. Shore-, “Decidability and invariant classes for degree structures”, in Transactions of the American Mathematical Society, volume 310, number 2",
          "text": "First, given any finite subuppersemilattice U ot 3[0,0'] with top element 0' and an isomorphism type V of a poset extending U consistently with its structure as an usl such that V and U have the same top element and V is an end extension of ...",
          "type": "quotation"
        },
        {
          "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": "quotation"
        }
      ],
      "glosses": [
        "A sub-semilattice of an uppersemilattice."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A sub-semilattice of an uppersemilattice."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "subuppersemilattice"
}