Cartesian natural transformation in English

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{
  "etymology_text": "So called because its naturality squares are Cartesian squares.",
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        "A natural transformation whose naturality squares are pullbacks."
      ],
      "id": "en-Cartesian_natural_transformation-en-noun-bZekj0fM",
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          "category theory",
          "category theory"
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          "natural transformation",
          "natural transformation"
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          "pullback",
          "pullback"
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      "raw_glosses": [
        "(category theory) A natural transformation whose naturality squares are pullbacks."
      ],
      "synonyms": [
        {
          "word": "equifibered natural transformation"
        }
      ],
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        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ]
    }
  ],
  "word": "Cartesian natural transformation"
}

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{
  "etymology_text": "So called because its naturality squares are Cartesian squares.",
  "forms": [
    {
      "form": "Cartesian natural transformations",
      "tags": [
        "plural"
      ]
    }
  ],
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      "glosses": [
        "A natural transformation whose naturality squares are pullbacks."
      ],
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        [
          "category theory",
          "category theory"
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          "natural transformation",
          "natural transformation"
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        "(category theory) A natural transformation whose naturality squares are pullbacks."
      ],
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        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
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  ],
  "synonyms": [
    {
      "word": "equifibered natural transformation"
    }
  ],
  "word": "Cartesian natural transformation"
}

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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 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). 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.

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"Cartesian natural transformation" meaning in English

Noun

Inflected forms