"connected space" meaning in English

{
  "forms": [
    {
      "form": "connected spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "connected space (plural connected 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": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Any topological space which cannot be written as the disjoint union of two or more nonempty open spaces."
      ],
      "id": "en-connected_space-en-noun-J7JNYHgU",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "disjoint union",
          "disjoint union"
        ],
        [
          "nonempty",
          "nonempty"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any topological space which cannot be written as the disjoint union of two or more nonempty open spaces."
      ],
      "related": [
        {
          "word": "arcwise connected space"
        },
        {
          "word": "locally connected space"
        },
        {
          "word": "simply connected space"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "ja",
          "lang": "Japanese",
          "sense": "any topological space which cannot be written as the disjoint union of two or more nonempty open spaces",
          "word": "連結空間"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "any topological space which cannot be written as the disjoint union of two or more nonempty open spaces",
          "tags": [
            "neuter"
          ],
          "word": "sammanhängande rum"
        }
      ],
      "wikipedia": [
        "connected space"
      ]
    }
  ],
  "word": "connected space"
}

{
  "forms": [
    {
      "form": "connected spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "connected space (plural connected spaces)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "arcwise connected space"
    },
    {
      "word": "locally connected space"
    },
    {
      "word": "simply connected space"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Mathematics"
      ],
      "glosses": [
        "Any topological space which cannot be written as the disjoint union of two or more nonempty open spaces."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "disjoint union",
          "disjoint union"
        ],
        [
          "nonempty",
          "nonempty"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any topological space which cannot be written as the disjoint union of two or more nonempty open spaces."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "connected space"
      ]
    }
  ],
  "translations": [
    {
      "code": "ja",
      "lang": "Japanese",
      "sense": "any topological space which cannot be written as the disjoint union of two or more nonempty open spaces",
      "word": "連結空間"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "any topological space which cannot be written as the disjoint union of two or more nonempty open spaces",
      "tags": [
        "neuter"
      ],
      "word": "sammanhängande rum"
    }
  ],
  "word": "connected space"
}