"Scott-open" meaning in English

{
  "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": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "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"
}

{
  "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 entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English terms with non-redundant non-automated sortkeys",
        "English uncomparable adjectives",
        "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"
}