"Baire function" meaning in English

{
  "etymology_text": "Introduced by René-Louis Baire.",
  "forms": [
    {
      "form": "Baire functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Baire function (plural Baire functions)",
      "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"
        },
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          "parents": [
            "Entries with language name categories using raw markup",
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          "parents": [
            "Entries with topic categories using raw markup",
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Functions",
          "orig": "en:Functions",
          "parents": [
            "Algebra",
            "Calculus",
            "Geometry",
            "Mathematical analysis",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A function obtained from a continuous function by transfinite iteration of the operation of forming pointwise limits of sequences of functions."
      ],
      "id": "en-Baire_function-en-noun-h~ZvPGoK",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "continuous function",
          "continuous function"
        ],
        [
          "transfinite",
          "transfinite"
        ],
        [
          "iteration",
          "iteration"
        ],
        [
          "pointwise",
          "pointwise"
        ],
        [
          "limit",
          "limit"
        ],
        [
          "sequence",
          "sequence"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A function obtained from a continuous function by transfinite iteration of the operation of forming pointwise limits of sequences of functions."
      ],
      "related": [
        {
          "word": "Baire set"
        },
        {
          "word": "property of Baire"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Baire function"
      ]
    }
  ],
  "word": "Baire function"
}

{
  "etymology_text": "Introduced by René-Louis Baire.",
  "forms": [
    {
      "form": "Baire functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Baire function (plural Baire functions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Baire set"
    },
    {
      "word": "property of Baire"
    }
  ],
  "senses": [
    {
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        "English countable nouns",
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        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Functions",
        "en:Mathematics"
      ],
      "glosses": [
        "A function obtained from a continuous function by transfinite iteration of the operation of forming pointwise limits of sequences of functions."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "continuous function",
          "continuous function"
        ],
        [
          "transfinite",
          "transfinite"
        ],
        [
          "iteration",
          "iteration"
        ],
        [
          "pointwise",
          "pointwise"
        ],
        [
          "limit",
          "limit"
        ],
        [
          "sequence",
          "sequence"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A function obtained from a continuous function by transfinite iteration of the operation of forming pointwise limits of sequences of functions."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Baire function"
      ]
    }
  ],
  "word": "Baire function"
}