"cointersection" meaning in All languages combined

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "intersection"
      },
      "expansion": "co- + intersection",
      "name": "prefix"
    }
  ],
  "etymology_text": "From co- + intersection.",
  "forms": [
    {
      "form": "cointersections",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cointersection (plural cointersections)",
      "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"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with co-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "1986, Yves Diers, Categories of Boolean sheaves of simple algebras:",
          "text": "the left adjoint […] preserves direct factors, their cointersections, their complements and thus their counions",
          "type": "quote"
        }
      ],
      "glosses": [
        "A family of behavioural equivalences which factors through all elements of a second specified family of behavioural equivalences and for which any morphism that factors through the second family of behavioural equivalences also factors through its elements."
      ],
      "id": "en-cointersection-en-noun-9gRCUZKp",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "family",
          "family"
        ],
        [
          "behaviour",
          "behaviour"
        ],
        [
          "equivalence",
          "equivalence"
        ],
        [
          "factor",
          "factor"
        ],
        [
          "morphism",
          "morphism"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A family of behavioural equivalences which factors through all elements of a second specified family of behavioural equivalences and for which any morphism that factors through the second family of behavioural equivalences also factors through its elements."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cointersection"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "intersection"
      },
      "expansion": "co- + intersection",
      "name": "prefix"
    }
  ],
  "etymology_text": "From co- + intersection.",
  "forms": [
    {
      "form": "cointersections",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cointersection (plural cointersections)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms prefixed with co-",
        "English terms with quotations",
        "Pages with 1 entry",
        "Quotation templates to be cleaned",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "1986, Yves Diers, Categories of Boolean sheaves of simple algebras:",
          "text": "the left adjoint […] preserves direct factors, their cointersections, their complements and thus their counions",
          "type": "quote"
        }
      ],
      "glosses": [
        "A family of behavioural equivalences which factors through all elements of a second specified family of behavioural equivalences and for which any morphism that factors through the second family of behavioural equivalences also factors through its elements."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "family",
          "family"
        ],
        [
          "behaviour",
          "behaviour"
        ],
        [
          "equivalence",
          "equivalence"
        ],
        [
          "factor",
          "factor"
        ],
        [
          "morphism",
          "morphism"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A family of behavioural equivalences which factors through all elements of a second specified family of behavioural equivalences and for which any morphism that factors through the second family of behavioural equivalences also factors through its elements."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cointersection"
}