Scott-open in English

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{
  "etymology_text": "Named after the mathematician Dana Scott.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "Scott-open (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Of a subset O of a partially ordered set P: such that it is an upper set and is inaccessible by directed joins, i.e. all directed sets D with supremum in O have non-empty intersection with O."
      ],
      "id": "en-Scott-open-en-adj-Y000tG-1",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "subset",
          "subset"
        ],
        [
          "partially ordered",
          "partially ordered"
        ],
        [
          "set",
          "set"
        ],
        [
          "upper set",
          "upper set"
        ],
        [
          "inaccessible",
          "inaccessible"
        ],
        [
          "supremum",
          "supremum"
        ],
        [
          "intersection",
          "intersection"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Of a subset O of a partially ordered set P: such that it is an upper set and is inaccessible by directed joins, i.e. all directed sets D with supremum in O have non-empty intersection with O."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Dana Scott"
      ]
    }
  ],
  "word": "Scott-open"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "etymology_text": "Named after the mathematician Dana Scott.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "Scott-open (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English uncomparable adjectives",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "Of a subset O of a partially ordered set P: such that it is an upper set and is inaccessible by directed joins, i.e. all directed sets D with supremum in O have non-empty intersection with O."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "subset",
          "subset"
        ],
        [
          "partially ordered",
          "partially ordered"
        ],
        [
          "set",
          "set"
        ],
        [
          "upper set",
          "upper set"
        ],
        [
          "inaccessible",
          "inaccessible"
        ],
        [
          "supremum",
          "supremum"
        ],
        [
          "intersection",
          "intersection"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Of a subset O of a partially ordered set P: such that it is an upper set and is inaccessible by directed joins, i.e. all directed sets D with supremum in O have non-empty intersection with O."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Dana Scott"
      ]
    }
  ],
  "word": "Scott-open"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-31 from the enwiktionary dump dated 2025-01-20 using wiktextract (bcd5c38 and 9dbd323). 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.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.

"Scott-open" meaning in English

Adjective