"measurable set" meaning in English

{
  "forms": [
    {
      "form": "measurable sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "measurable set (plural measurable sets)",
      "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"
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          "source": "w"
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          "parents": [
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Measure theory",
          "orig": "en:Measure theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A subset of a given measurable space which is a member of the σ-algebra of that space."
      ],
      "holonyms": [
        {
          "word": "σ-algebra"
        },
        {
          "word": "measurable space"
        },
        {
          "word": "measure space"
        }
      ],
      "id": "en-measurable_set-en-noun-FANoMi7q",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "measurable space",
          "measurable space"
        ],
        [
          "σ-algebra",
          "σ-algebra"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) A subset of a given measurable space which is a member of the σ-algebra of that space."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "messbare Menge"
        },
        {
          "code": "ja",
          "lang": "Japanese",
          "sense": "Translations",
          "word": "可測集合"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "Translations",
          "tags": [
            "masculine"
          ],
          "word": "conjunto medible"
        }
      ]
    }
  ],
  "word": "measurable set"
}

{
  "forms": [
    {
      "form": "measurable sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "measurable set (plural measurable sets)",
      "name": "en-noun"
    }
  ],
  "holonyms": [
    {
      "word": "σ-algebra"
    },
    {
      "word": "measurable space"
    },
    {
      "word": "measure space"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with topic categories using raw markup",
        "English lemmas",
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        "Translation table header lacks gloss",
        "en:Mathematical analysis",
        "en:Measure theory"
      ],
      "glosses": [
        "A subset of a given measurable space which is a member of the σ-algebra of that space."
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "measurable space",
          "measurable space"
        ],
        [
          "σ-algebra",
          "σ-algebra"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) A subset of a given measurable space which is a member of the σ-algebra of that space."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "messbare Menge"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "sense": "Translations",
      "word": "可測集合"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "conjunto medible"
    }
  ],
  "word": "measurable set"
}