"product topology" meaning in All languages combined

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  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "The topology of the Cartesian product of two or more topological spaces which is generated from a basis whose elements are Cartesian products of open subsets of the original spaces, such that for each such Cartesian product only a finite quantity of such subsets are proper."
      ],
      "id": "en-product_topology-en-noun-tv75sEOD",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "Cartesian product",
          "Cartesian product"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "basis",
          "basis"
        ],
        [
          "open",
          "open set"
        ],
        [
          "proper",
          "proper subset"
        ]
      ],
      "raw_glosses": [
        "(topology) The topology of the Cartesian product of two or more topological spaces which is generated from a basis whose elements are Cartesian products of open subsets of the original spaces, such that for each such Cartesian product only a finite quantity of such subsets are proper."
      ],
      "related": [
        {
          "word": "box topology"
        }
      ],
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        "mathematics",
        "sciences",
        "topology"
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      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "product topology",
          "word": "tulotopologia"
        }
      ]
    }
  ],
  "word": "product topology"
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  "lang_code": "en",
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        "The topology of the Cartesian product of two or more topological spaces which is generated from a basis whose elements are Cartesian products of open subsets of the original spaces, such that for each such Cartesian product only a finite quantity of such subsets are proper."
      ],
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          "Cartesian product",
          "Cartesian product"
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          "topological space",
          "topological space"
        ],
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          "basis",
          "basis"
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          "open",
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        ],
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        "(topology) The topology of the Cartesian product of two or more topological spaces which is generated from a basis whose elements are Cartesian products of open subsets of the original spaces, such that for each such Cartesian product only a finite quantity of such subsets are proper."
      ],
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        "mathematics",
        "sciences",
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  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "product topology",
      "word": "tulotopologia"
    }
  ],
  "word": "product topology"
}