"subspace topology" meaning in English

{
  "forms": [
    {
      "form": "subspace topologies",
      "tags": [
        "plural"
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      "expansion": "subspace topology (plural subspace topologies)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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      "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"
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        [
          "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"
}

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  "forms": [
    {
      "form": "subspace topologies",
      "tags": [
        "plural"
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      "expansion": "subspace topology (plural subspace topologies)",
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      "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"
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        [
          "open set",
          "open set"
        ]
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      "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"
      ]
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  ],
  "synonyms": [
    {
      "word": "relative topology"
    }
  ],
  "translations": [
    {
      "code": "da",
      "lang": "Danish",
      "sense": "topology of a subset",
      "tags": [
        "common-gender"
      ],
      "word": "sportopologi"
    }
  ],
  "word": "subspace topology"
}