"Lebesgue measurable" meaning in English

{
  "etymology_text": "After Henri Lebesgue",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "Lebesgue measurable (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Measure theory",
          "orig": "en:Measure theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "(of a set in some k-dimensional Euclidean space) That it is an element of the domain of the Lebesgue measure of the ambient Euclidean space."
      ],
      "id": "en-Lebesgue_measurable-en-adj-CEHDvg8H",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "domain",
          "domain"
        ],
        [
          "Lebesgue measure",
          "Lebesgue measure"
        ],
        [
          "Euclidean space",
          "Euclidean space"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) (of a set in some k-dimensional Euclidean space) That it is an element of the domain of the Lebesgue measure of the ambient Euclidean space."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "word": "Lebesgue-messbar"
        }
      ],
      "wikipedia": [
        "Henri Lebesgue"
      ]
    }
  ],
  "word": "Lebesgue measurable"
}

{
  "etymology_text": "After Henri Lebesgue",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "Lebesgue measurable (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English uncomparable adjectives",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with German translations",
        "Translation table header lacks gloss",
        "en:Mathematical analysis",
        "en:Measure theory"
      ],
      "glosses": [
        "(of a set in some k-dimensional Euclidean space) That it is an element of the domain of the Lebesgue measure of the ambient Euclidean space."
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "domain",
          "domain"
        ],
        [
          "Lebesgue measure",
          "Lebesgue measure"
        ],
        [
          "Euclidean space",
          "Euclidean space"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) (of a set in some k-dimensional Euclidean space) That it is an element of the domain of the Lebesgue measure of the ambient Euclidean space."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Henri Lebesgue"
      ]
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "word": "Lebesgue-messbar"
    }
  ],
  "word": "Lebesgue measurable"
}