"Hausdorff space" meaning in Anglais

{
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      "kind": "other",
      "name": "Locutions nominales en anglais",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Anglais",
      "orig": "anglais",
      "parents": [],
      "source": "w"
    }
  ],
  "etymology_texts": [
    "(XXᵉ siècle) Du patronyme du mathématicien Felix Hausdorff."
  ],
  "forms": [
    {
      "form": "Hausdorff spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "lang": "Anglais",
  "lang_code": "en",
  "pos": "noun",
  "pos_title": "Locution nominale",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "Exemples en anglais",
          "parents": [],
          "source": "w"
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        {
          "kind": "other",
          "name": "Lexique en anglais de la topologie",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "bold_text_offsets": [
            [
              41,
              56
            ],
            [
              96,
              111
            ],
            [
              96,
              112
            ]
          ],
          "ref": "N. L. Carothers, A Short Course on Banach Space Theory, 2005",
          "text": "More generally, each compact subset of a Hausdorff space is closed. … Metric spaces and compact Hausdorff spaces enjoy an even stronger separation property; in either case, disjoint closed sets can always be separated by disjoint open sets.",
          "translation": "Plus généralement, toute partie compacte d'une espace de Hausdorff est fermé. … Les espaces métriques et les espaces compacts possèdent une propriété de séparation encore plus forte ; dans les deux cas, des ensembles fermés disjoints peuvent toujours être séparés par des ensembles ouverts disjoints."
        }
      ],
      "glosses": [
        "Espace de Hausdorff"
      ],
      "id": "fr-Hausdorff_space-en-noun-lnYGfBvW",
      "topics": [
        "topology"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "T₂ space"
    }
  ],
  "word": "Hausdorff space"
}

{
  "categories": [
    "Locutions nominales en anglais",
    "anglais"
  ],
  "etymology_texts": [
    "(XXᵉ siècle) Du patronyme du mathématicien Felix Hausdorff."
  ],
  "forms": [
    {
      "form": "Hausdorff spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "lang": "Anglais",
  "lang_code": "en",
  "pos": "noun",
  "pos_title": "Locution nominale",
  "senses": [
    {
      "categories": [
        "Exemples en anglais",
        "Lexique en anglais de la topologie"
      ],
      "examples": [
        {
          "bold_text_offsets": [
            [
              41,
              56
            ],
            [
              96,
              111
            ],
            [
              96,
              112
            ]
          ],
          "ref": "N. L. Carothers, A Short Course on Banach Space Theory, 2005",
          "text": "More generally, each compact subset of a Hausdorff space is closed. … Metric spaces and compact Hausdorff spaces enjoy an even stronger separation property; in either case, disjoint closed sets can always be separated by disjoint open sets.",
          "translation": "Plus généralement, toute partie compacte d'une espace de Hausdorff est fermé. … Les espaces métriques et les espaces compacts possèdent une propriété de séparation encore plus forte ; dans les deux cas, des ensembles fermés disjoints peuvent toujours être séparés par des ensembles ouverts disjoints."
        }
      ],
      "glosses": [
        "Espace de Hausdorff"
      ],
      "topics": [
        "topology"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "T₂ space"
    }
  ],
  "word": "Hausdorff space"
}