"Borel measurable" meaning in English

{
  "head_templates": [
    {
      "args": {
        "1": "-",
        "head": "Borel measurable"
      },
      "expansion": "Borel 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": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "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"
        }
      ],
      "examples": [
        {
          "text": "Continuous functions are Borel measurable.",
          "type": "example"
        }
      ],
      "glosses": [
        "Such that the inverse image of any open set in its codomain is a Borel set of its domain."
      ],
      "id": "en-Borel_measurable-en-adj-MR3NbBPr",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "function",
          "function"
        ],
        [
          "inverse image",
          "inverse image"
        ],
        [
          "open set",
          "open set"
        ],
        [
          "codomain",
          "codomain"
        ],
        [
          "Borel set",
          "Borel set"
        ],
        [
          "domain",
          "domain"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis, of a function) Such that the inverse image of any open set in its codomain is a Borel set of its domain."
      ],
      "raw_tags": [
        "of a function"
      ],
      "related": [
        {
          "word": "Borel function"
        }
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Émile Borel"
      ]
    }
  ],
  "word": "Borel measurable"
}

{
  "head_templates": [
    {
      "args": {
        "1": "-",
        "head": "Borel measurable"
      },
      "expansion": "Borel measurable (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "related": [
    {
      "word": "Borel function"
    }
  ],
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English terms with usage examples",
        "English uncomparable adjectives",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematical analysis",
        "en:Measure theory"
      ],
      "examples": [
        {
          "text": "Continuous functions are Borel measurable.",
          "type": "example"
        }
      ],
      "glosses": [
        "Such that the inverse image of any open set in its codomain is a Borel set of its domain."
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "function",
          "function"
        ],
        [
          "inverse image",
          "inverse image"
        ],
        [
          "open set",
          "open set"
        ],
        [
          "codomain",
          "codomain"
        ],
        [
          "Borel set",
          "Borel set"
        ],
        [
          "domain",
          "domain"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis, of a function) Such that the inverse image of any open set in its codomain is a Borel set of its domain."
      ],
      "raw_tags": [
        "of a function"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Émile Borel"
      ]
    }
  ],
  "word": "Borel measurable"
}