elementary topos in English

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{
  "forms": [
    {
      "form": "elementary topoi",
      "tags": [
        "plural"
      ]
    },
    {
      "form": "elementary toposes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "elementary topoi",
        "2": "+"
      },
      "expansion": "elementary topos (plural elementary topoi or elementary toposes)",
      "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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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Category theory",
          "orig": "en:Category theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A Cartesian closed category which has a subobject classifier."
      ],
      "hypernyms": [
        {
          "word": "locally Cartesian closed category"
        }
      ],
      "hyponyms": [
        {
          "word": "Grothendieck topos"
        }
      ],
      "id": "en-elementary_topos-en-noun-RtaIL4I5",
      "links": [
        [
          "category theory",
          "category theory"
        ],
        [
          "Cartesian closed category",
          "Cartesian closed category"
        ],
        [
          "subobject classifier",
          "subobject classifier"
        ]
      ],
      "raw_glosses": [
        "(category theory) A Cartesian closed category which has a subobject classifier."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ]
    }
  ],
  "word": "elementary topos"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "forms": [
    {
      "form": "elementary topoi",
      "tags": [
        "plural"
      ]
    },
    {
      "form": "elementary toposes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "elementary topoi",
        "2": "+"
      },
      "expansion": "elementary topos (plural elementary topoi or elementary toposes)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "locally Cartesian closed category"
    }
  ],
  "hyponyms": [
    {
      "word": "Grothendieck topos"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Category theory"
      ],
      "glosses": [
        "A Cartesian closed category which has a subobject classifier."
      ],
      "links": [
        [
          "category theory",
          "category theory"
        ],
        [
          "Cartesian closed category",
          "Cartesian closed category"
        ],
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          "subobject classifier",
          "subobject classifier"
        ]
      ],
      "raw_glosses": [
        "(category theory) A Cartesian closed category which has a subobject classifier."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ]
    }
  ],
  "word": "elementary topos"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-08 from the enwiktionary dump dated 2025-01-01 using wiktextract (9a96ef4 and 4ed51a5). 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.

"elementary topos" meaning in English

Noun