"Cartesian natural transformation" meaning in All languages combined

{
  "etymology_text": "So called because its naturality squares are Cartesian squares.",
  "forms": [
    {
      "form": "Cartesian natural transformations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "head": "Cartesian natural transformation"
      },
      "expansion": "Cartesian natural transformation (plural Cartesian natural transformations)",
      "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"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
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          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Category theory",
          "orig": "en:Category theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A natural transformation whose naturality squares are pullbacks."
      ],
      "id": "en-Cartesian_natural_transformation-en-noun-bZekj0fM",
      "links": [
        [
          "category theory",
          "category theory"
        ],
        [
          "natural transformation",
          "natural transformation"
        ],
        [
          "pullback",
          "pullback"
        ]
      ],
      "raw_glosses": [
        "(category theory) A natural transformation whose naturality squares are pullbacks."
      ],
      "synonyms": [
        {
          "word": "equifibered natural transformation"
        }
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ]
    }
  ],
  "word": "Cartesian natural transformation"
}

{
  "etymology_text": "So called because its naturality squares are Cartesian squares.",
  "forms": [
    {
      "form": "Cartesian natural transformations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "head": "Cartesian natural transformation"
      },
      "expansion": "Cartesian natural transformation (plural Cartesian natural transformations)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Category theory"
      ],
      "glosses": [
        "A natural transformation whose naturality squares are pullbacks."
      ],
      "links": [
        [
          "category theory",
          "category theory"
        ],
        [
          "natural transformation",
          "natural transformation"
        ],
        [
          "pullback",
          "pullback"
        ]
      ],
      "raw_glosses": [
        "(category theory) A natural transformation whose naturality squares are pullbacks."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "equifibered natural transformation"
    }
  ],
  "word": "Cartesian natural transformation"
}