"Fatou set" meaning in English

{
  "etymology_text": "Named after Pierre Fatou.",
  "forms": [
    {
      "form": "Fatou sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Fatou set (plural Fatou sets)",
      "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 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": [
        "A set that is complementary to the Julia set, and that informally consists of values with the property that all nearby values behave similarly under repeated iteration of the function."
      ],
      "id": "en-Fatou_set-en-noun-xeo69FGA",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "set",
          "set"
        ],
        [
          "complementary",
          "complementary"
        ],
        [
          "Julia set",
          "Julia set"
        ],
        [
          "iteration",
          "iteration"
        ],
        [
          "function",
          "function"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A set that is complementary to the Julia set, and that informally consists of values with the property that all nearby values behave similarly under repeated iteration of the function."
      ],
      "related": [
        {
          "word": "Fatou component"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Pierre Fatou"
      ]
    }
  ],
  "word": "Fatou set"
}

{
  "etymology_text": "Named after Pierre Fatou.",
  "forms": [
    {
      "form": "Fatou sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Fatou set (plural Fatou sets)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Fatou component"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Mathematics"
      ],
      "glosses": [
        "A set that is complementary to the Julia set, and that informally consists of values with the property that all nearby values behave similarly under repeated iteration of the function."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "set",
          "set"
        ],
        [
          "complementary",
          "complementary"
        ],
        [
          "Julia set",
          "Julia set"
        ],
        [
          "iteration",
          "iteration"
        ],
        [
          "function",
          "function"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A set that is complementary to the Julia set, and that informally consists of values with the property that all nearby values behave similarly under repeated iteration of the function."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Pierre Fatou"
      ]
    }
  ],
  "word": "Fatou set"
}