"Brouwer fixed-point theorem" meaning in English

See Brouwer fixed-point theorem in All languages combined, or Wiktionary

Proper name

Forms: the Brouwer fixed-point theorem [canonical]
Etymology: Named after L. E. J. Brouwer (1881–1966), Dutch mathematician and philosopher. Head templates: {{en-proper noun|def=1}} the Brouwer fixed-point theorem
  1. (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. Wikipedia link: Brouwer fixed-point theorem, L. E. J. Brouwer
    Sense id: en-Brouwer_fixed-point_theorem-en-name-urCngUhk Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries, Topology Topics: mathematics, sciences, topology

Alternative forms

{
  "etymology_text": "Named after L. E. J. Brouwer (1881–1966), Dutch mathematician and philosopher.",
  "forms": [
    {
      "form": "the Brouwer fixed-point theorem",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "def": "1"
      },
      "expansion": "the Brouwer fixed-point theorem",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [],
          "source": "w"
        }
      ],
      "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",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "fixed point",
          "fixed point"
        ]
      ],
      "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"
      ]
    }
  ],
  "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"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "def": "1"
      },
      "expansion": "the Brouwer fixed-point theorem",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English uncountable nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Topology"
      ],
      "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."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "fixed point",
          "fixed point"
        ]
      ],
      "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"
      ]
    }
  ],
  "word": "Brouwer fixed-point theorem"
}

Download raw JSONL data for Brouwer fixed-point theorem meaning in English (1.2kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-05-16 from the enwiktionary dump dated 2025-05-01 using wiktextract (142890b and 1d3fdbf). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.