"pseudointersection" meaning in English

{
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        "2": "pseudo",
        "3": "intersection"
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      "expansion": "pseudo- + intersection",
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  ],
  "etymology_text": "pseudo- + intersection",
  "forms": [
    {
      "form": "pseudointersections",
      "tags": [
        "plural"
      ]
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  ],
  "head_templates": [
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      "expansion": "pseudointersection (plural pseudointersections)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "kind": "other",
          "name": "English entries with incorrect language header",
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          "name": "English terms prefixed with pseudo-",
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
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      "examples": [
        {
          "ref": "2016, Jörg Brendle, Barnabás Farkas, Jonathan Verner, “Towers in filters, cardinal invariants, and Luzin type families”, in arXiv",
          "text": "We investigate which filters on #x5C;omega can contain towers, that is, a modulo finite descending sequence without any pseudointersection (in #x5B;#x5C;omega#x5D;#x5C;omega).",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A set for which the number of elements that are not in the intersection (of two infinite sets) is finite."
      ],
      "id": "en-pseudointersection-en-noun-pzulbg8a",
      "links": [
        [
          "mathematics",
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      ],
      "raw_glosses": [
        "(mathematics) A set for which the number of elements that are not in the intersection (of two infinite sets) is finite."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "pseudointersection"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "pseudo",
        "3": "intersection"
      },
      "expansion": "pseudo- + intersection",
      "name": "prefix"
    }
  ],
  "etymology_text": "pseudo- + intersection",
  "forms": [
    {
      "form": "pseudointersections",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
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      "expansion": "pseudointersection (plural pseudointersections)",
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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      "examples": [
        {
          "ref": "2016, Jörg Brendle, Barnabás Farkas, Jonathan Verner, “Towers in filters, cardinal invariants, and Luzin type families”, in arXiv",
          "text": "We investigate which filters on #x5C;omega can contain towers, that is, a modulo finite descending sequence without any pseudointersection (in #x5B;#x5C;omega#x5D;#x5C;omega).",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A set for which the number of elements that are not in the intersection (of two infinite sets) is finite."
      ],
      "links": [
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          "mathematics",
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      ],
      "raw_glosses": [
        "(mathematics) A set for which the number of elements that are not in the intersection (of two infinite sets) is finite."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "pseudointersection"
}