"Brouwer fixed-point theorem" meaning in All languages combined

{
  "etymology_text": "Named after L. E. J. Brouwer (1881–1966), Dutch mathematician and philosopher.",
  "forms": [
    {
      "form": "the Brouwer fixed-point theorem",
      "tags": [
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  ],
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      "expansion": "the Brouwer fixed-point theorem",
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  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
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        {
          "kind": "other",
          "name": "English entries with incorrect language header",
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          "orig": "en:Topology",
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      "glosses": [
        "A theorem which (in one of its simplest forms) states that a continuous function from an n-dimensional unit cube (in ℝⁿ) to itself has a fixed point."
      ],
      "id": "en-Brouwer_fixed-point_theorem-en-name-urCngUhk",
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      "raw_glosses": [
        "(topology) A theorem which (in one of its simplest forms) states that a continuous function from an n-dimensional unit cube (in ℝⁿ) to itself has a fixed point."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ],
      "wikipedia": [
        "Brouwer fixed-point theorem",
        "L. E. J. Brouwer"
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  ],
  "word": "Brouwer fixed-point theorem"
}

{
  "etymology_text": "Named after L. E. J. Brouwer (1881–1966), Dutch mathematician and philosopher.",
  "forms": [
    {
      "form": "the Brouwer fixed-point theorem",
      "tags": [
        "canonical"
      ]
    }
  ],
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  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
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      "glosses": [
        "A theorem which (in one of its simplest forms) states that a continuous function from an n-dimensional unit cube (in ℝⁿ) to itself has a fixed point."
      ],
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          "topology",
          "topology"
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      "raw_glosses": [
        "(topology) A theorem which (in one of its simplest forms) states that a continuous function from an n-dimensional unit cube (in ℝⁿ) to itself has a fixed point."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ],
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        "L. E. J. Brouwer"
      ]
    }
  ],
  "word": "Brouwer fixed-point theorem"
}