"localement compact" meaning in Français

{
  "categories": [
    {
      "kind": "other",
      "name": "Compositions en français",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Locutions adjectivales en français",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Traductions en allemand",
      "parents": [],
      "source": "w"
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    {
      "kind": "other",
      "name": "Traductions en anglais",
      "parents": [],
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      "parents": [],
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      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Français",
      "orig": "français",
      "parents": [],
      "source": "w"
    }
  ],
  "etymology_texts": [
    "Composé de localement et de compact."
  ],
  "forms": [
    {
      "form": "localement compacts",
      "ipas": [
        "\\lɔ.kal.mɑ̃ kɔ̃.pakt\\"
      ],
      "tags": [
        "plural",
        "masculine"
      ]
    },
    {
      "form": "localement compacte",
      "ipas": [
        "\\lɔ.kal.mɑ̃ kɔ̃.pakt\\"
      ],
      "tags": [
        "singular",
        "feminine"
      ]
    },
    {
      "form": "localement compactes",
      "ipas": [
        "\\lɔ.kal.mɑ̃ kɔ̃.pakt\\"
      ],
      "tags": [
        "plural",
        "feminine"
      ]
    }
  ],
  "hypernyms": [
    {
      "word": "localement truc"
    }
  ],
  "lang": "Français",
  "lang_code": "fr",
  "notes": [
    "Cette condition équivaut à ce que chaque point admette une base de voisinages compacts."
  ],
  "pos": "adj",
  "pos_title": "Locution adjectivale",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "Exemples en français",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Lexique en français de la topologie",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "Les variétés topologiques sont localement compactes."
        },
        {
          "text": "Un espace compact est localement compact."
        }
      ],
      "glosses": [
        "Se dit d’un espace topologique dont chaque point admet un voisinage compact."
      ],
      "id": "fr-localement_compact-fr-adj-qhHTmkdg",
      "topics": [
        "topology"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "\\lɔ.kal.mɑ̃ kɔ̃.pakt\\"
    },
    {
      "audio": "LL-Q150 (fra)-Lepticed7-localement compact.wav",
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  ],
  "translations": [
    {
      "lang": "Allemand",
      "lang_code": "de",
      "word": "lokalkompakt"
    },
    {
      "lang": "Anglais",
      "lang_code": "en",
      "word": "locally compact"
    },
    {
      "lang": "Croate",
      "lang_code": "hr",
      "word": "zatvorena okolina"
    },
    {
      "lang": "Russe",
      "lang_code": "ru",
      "word": "локально компактный"
    }
  ],
  "word": "localement compact"
}

{
  "categories": [
    "Compositions en français",
    "Locutions adjectivales en français",
    "Traductions en allemand",
    "Traductions en anglais",
    "Traductions en croate",
    "Traductions en russe",
    "français"
  ],
  "etymology_texts": [
    "Composé de localement et de compact."
  ],
  "forms": [
    {
      "form": "localement compacts",
      "ipas": [
        "\\lɔ.kal.mɑ̃ kɔ̃.pakt\\"
      ],
      "tags": [
        "plural",
        "masculine"
      ]
    },
    {
      "form": "localement compacte",
      "ipas": [
        "\\lɔ.kal.mɑ̃ kɔ̃.pakt\\"
      ],
      "tags": [
        "singular",
        "feminine"
      ]
    },
    {
      "form": "localement compactes",
      "ipas": [
        "\\lɔ.kal.mɑ̃ kɔ̃.pakt\\"
      ],
      "tags": [
        "plural",
        "feminine"
      ]
    }
  ],
  "hypernyms": [
    {
      "word": "localement truc"
    }
  ],
  "lang": "Français",
  "lang_code": "fr",
  "notes": [
    "Cette condition équivaut à ce que chaque point admette une base de voisinages compacts."
  ],
  "pos": "adj",
  "pos_title": "Locution adjectivale",
  "senses": [
    {
      "categories": [
        "Exemples en français",
        "Lexique en français de la topologie"
      ],
      "examples": [
        {
          "text": "Les variétés topologiques sont localement compactes."
        },
        {
          "text": "Un espace compact est localement compact."
        }
      ],
      "glosses": [
        "Se dit d’un espace topologique dont chaque point admet un voisinage compact."
      ],
      "topics": [
        "topology"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "\\lɔ.kal.mɑ̃ kɔ̃.pakt\\"
    },
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  ],
  "translations": [
    {
      "lang": "Allemand",
      "lang_code": "de",
      "word": "lokalkompakt"
    },
    {
      "lang": "Anglais",
      "lang_code": "en",
      "word": "locally compact"
    },
    {
      "lang": "Croate",
      "lang_code": "hr",
      "word": "zatvorena okolina"
    },
    {
      "lang": "Russe",
      "lang_code": "ru",
      "word": "локально компактный"
    }
  ],
  "word": "localement compact"
}