"mathematical space" meaning in English

{
  "forms": [
    {
      "form": "mathematical spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "mathematical space (plural mathematical 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",
          "langcode": "en",
          "name": "Topological spaces",
          "orig": "en:Topological spaces",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A set (a \"universe\") that consists of selected mathematical objects that are treated as points, and selected relationships between them."
      ],
      "hypernyms": [
        {
          "word": "space"
        }
      ],
      "hyponyms": [
        {
          "word": "Banach space"
        },
        {
          "word": "Euclidean space"
        },
        {
          "word": "Hilbert space"
        },
        {
          "word": "inner product space"
        },
        {
          "word": "linear space"
        },
        {
          "word": "locally convex space"
        },
        {
          "word": "metric space"
        },
        {
          "word": "normed vector space"
        },
        {
          "word": "probability space"
        },
        {
          "word": "topological space"
        },
        {
          "word": "vector space"
        }
      ],
      "id": "en-mathematical_space-en-noun-QGaEi2Gp",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "set",
          "set"
        ],
        [
          "universe",
          "universe"
        ]
      ],
      "raw_glosses": [
        "(topology) A set (a \"universe\") that consists of selected mathematical objects that are treated as points, and selected relationships between them."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "a set that consists of selected mathematical object",
          "tags": [
            "masculine"
          ],
          "word": "mathematischer Raum"
        }
      ]
    }
  ],
  "word": "mathematical space"
}

{
  "forms": [
    {
      "form": "mathematical spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "mathematical space (plural mathematical spaces)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "space"
    }
  ],
  "hyponyms": [
    {
      "word": "Banach space"
    },
    {
      "word": "Euclidean space"
    },
    {
      "word": "Hilbert space"
    },
    {
      "word": "inner product space"
    },
    {
      "word": "linear space"
    },
    {
      "word": "locally convex space"
    },
    {
      "word": "metric space"
    },
    {
      "word": "normed vector space"
    },
    {
      "word": "probability space"
    },
    {
      "word": "topological space"
    },
    {
      "word": "vector space"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Topological spaces",
        "en:Topology"
      ],
      "glosses": [
        "A set (a \"universe\") that consists of selected mathematical objects that are treated as points, and selected relationships between them."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "set",
          "set"
        ],
        [
          "universe",
          "universe"
        ]
      ],
      "raw_glosses": [
        "(topology) A set (a \"universe\") that consists of selected mathematical objects that are treated as points, and selected relationships between them."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "a set that consists of selected mathematical object",
      "tags": [
        "masculine"
      ],
      "word": "mathematischer Raum"
    }
  ],
  "word": "mathematical space"
}