"pseudofunctor" meaning in English

See pseudofunctor in All languages combined, or Wiktionary

Noun

Forms: pseudofunctors [plural]
Etymology: pseudo- + functor Etymology templates: {{prefix|en|pseudo|functor}} pseudo- + functor Head templates: {{en-noun}} pseudofunctor (plural pseudofunctors)
  1. (mathematics) A mapping between categories that is just like a functor except that f(x∘y)=f(x)∘f(y) and f(1)=1 do not hold as exact equalities but only up to coherent isomorphisms. Wikipedia link: pseudofunctor Categories (topical): Mathematics
    Sense id: en-pseudofunctor-en-noun-Rhms2HJB Categories (other): English entries with incorrect language header, English terms prefixed with pseudo- Topics: mathematics, sciences

Inflected forms

Download JSON data for pseudofunctor meaning in English (1.5kB)

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  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "pseudo",
        "3": "functor"
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      "expansion": "pseudo- + functor",
      "name": "prefix"
    }
  ],
  "etymology_text": "pseudo- + functor",
  "forms": [
    {
      "form": "pseudofunctors",
      "tags": [
        "plural"
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  "head_templates": [
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      "expansion": "pseudofunctor (plural pseudofunctors)",
      "name": "en-noun"
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  "pos": "noun",
  "senses": [
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          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A mapping between categories that is just like a functor except that f(x∘y)=f(x)∘f(y) and f(1)=1 do not hold as exact equalities but only up to coherent isomorphisms."
      ],
      "id": "en-pseudofunctor-en-noun-Rhms2HJB",
      "links": [
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        [
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      ],
      "raw_glosses": [
        "(mathematics) A mapping between categories that is just like a functor except that f(x∘y)=f(x)∘f(y) and f(1)=1 do not hold as exact equalities but only up to coherent isomorphisms."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "pseudofunctor"
      ]
    }
  ],
  "word": "pseudofunctor"
}
{
  "etymology_templates": [
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  ],
  "etymology_text": "pseudo- + functor",
  "forms": [
    {
      "form": "pseudofunctors",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "pseudofunctor (plural pseudofunctors)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        "English entries with incorrect language header",
        "English lemmas",
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      "glosses": [
        "A mapping between categories that is just like a functor except that f(x∘y)=f(x)∘f(y) and f(1)=1 do not hold as exact equalities but only up to coherent isomorphisms."
      ],
      "links": [
        [
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      ],
      "raw_glosses": [
        "(mathematics) A mapping between categories that is just like a functor except that f(x∘y)=f(x)∘f(y) and f(1)=1 do not hold as exact equalities but only up to coherent isomorphisms."
      ],
      "topics": [
        "mathematics",
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        "pseudofunctor"
      ]
    }
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}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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.