"subspace topology" meaning in English

{
  "forms": [
    {
      "form": "subspace topologies",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "subspace topology (plural subspace topologies)",
      "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": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The topology of a subset S of a topological space X which is obtained by considering any subset of S to be an open set if it corresponds to the intersection of S with some open set of X."
      ],
      "id": "en-subspace_topology-en-noun-hH-g3j~d",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "open set",
          "open set"
        ]
      ],
      "raw_glosses": [
        "(topology) The topology of a subset S of a topological space X which is obtained by considering any subset of S to be an open set if it corresponds to the intersection of S with some open set of X."
      ],
      "synonyms": [
        {
          "word": "relative topology"
        }
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ],
      "translations": [
        {
          "code": "da",
          "lang": "Danish",
          "sense": "topology of a subset",
          "tags": [
            "common-gender"
          ],
          "word": "sportopologi"
        }
      ]
    }
  ],
  "word": "subspace topology"
}

{
  "forms": [
    {
      "form": "subspace topologies",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "subspace topology (plural subspace topologies)",
      "name": "en-noun"
    }
  ],
  "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:Topology"
      ],
      "glosses": [
        "The topology of a subset S of a topological space X which is obtained by considering any subset of S to be an open set if it corresponds to the intersection of S with some open set of X."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "open set",
          "open set"
        ]
      ],
      "raw_glosses": [
        "(topology) The topology of a subset S of a topological space X which is obtained by considering any subset of S to be an open set if it corresponds to the intersection of S with some open set of X."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "relative topology"
    }
  ],
  "translations": [
    {
      "code": "da",
      "lang": "Danish",
      "sense": "topology of a subset",
      "tags": [
        "common-gender"
      ],
      "word": "sportopologi"
    }
  ],
  "word": "subspace topology"
}