"Baire space" meaning in All languages combined

{
  "etymology_text": "Introduced by René-Louis Baire.",
  "forms": [
    {
      "form": "Baire spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Baire space (plural Baire spaces)",
      "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": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A topological space such that every intersection of a countable collection of open dense sets in the space is also dense."
      ],
      "id": "en-Baire_space-en-noun-OnNJJVar",
      "links": [
        [
          "topological space",
          "topological space"
        ],
        [
          "intersection",
          "intersection"
        ],
        [
          "countable",
          "countable"
        ],
        [
          "collection",
          "collection"
        ],
        [
          "open",
          "open"
        ],
        [
          "dense",
          "dense"
        ],
        [
          "set",
          "set"
        ]
      ],
      "wikipedia": [
        "Baire space"
      ]
    }
  ],
  "word": "Baire space"
}

{
  "etymology_text": "Introduced by René-Louis Baire.",
  "forms": [
    {
      "form": "Baire spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Baire space (plural Baire spaces)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Topology"
      ],
      "glosses": [
        "A topological space such that every intersection of a countable collection of open dense sets in the space is also dense."
      ],
      "links": [
        [
          "topological space",
          "topological space"
        ],
        [
          "intersection",
          "intersection"
        ],
        [
          "countable",
          "countable"
        ],
        [
          "collection",
          "collection"
        ],
        [
          "open",
          "open"
        ],
        [
          "dense",
          "dense"
        ],
        [
          "set",
          "set"
        ]
      ],
      "wikipedia": [
        "Baire space"
      ]
    }
  ],
  "word": "Baire space"
}