"comma category" meaning in English

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      "expansion": "comma category (plural comma categories)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "kind": "topical",
          "langcode": "en",
          "name": "Category theory",
          "orig": "en:Category theory",
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      ],
      "examples": [
        {
          "text": "Given a pair of functors S:𝒜→𝒞 and T:ℬ→𝒞, objects of the comma category S↓T are arrows h:S(A)→T(B) parametrized by triples (A, B, h), and given morphisms f:A→A' and g:B→B', then a morphism of the said comma category is a commuting square parametrized by the pair (f, g) and spanning the area from h to h':S(A')→T(B') and from S(f) to T(g)."
        }
      ],
      "glosses": [
        "A category built out of a pair of functors that have the same codomain."
      ],
      "hyponyms": [
        {
          "word": "arrow category"
        },
        {
          "word": "slice category"
        },
        {
          "word": "coslice category"
        }
      ],
      "id": "en-comma_category-en-noun-Nn9E~3Dm",
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        [
          "category theory",
          "category theory"
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        [
          "functor",
          "functor"
        ]
      ],
      "raw_glosses": [
        "(category theory) A category built out of a pair of functors that have the same codomain."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "word": "Kommakategorie"
        },
        {
          "code": "ko",
          "lang": "Korean",
          "roman": "swimpyo beomju",
          "sense": "Translations",
          "word": "쉼표 범주"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "kategorija zapjatoj",
          "sense": "Translations",
          "word": "категория запятой"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "Translations",
          "word": "categoría coma"
        }
      ],
      "wikipedia": [
        "comma category"
      ]
    }
  ],
  "word": "comma category"
}

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  "hyponyms": [
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      "word": "arrow category"
    },
    {
      "word": "slice category"
    },
    {
      "word": "coslice category"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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        {
          "text": "Given a pair of functors S:𝒜→𝒞 and T:ℬ→𝒞, objects of the comma category S↓T are arrows h:S(A)→T(B) parametrized by triples (A, B, h), and given morphisms f:A→A' and g:B→B', then a morphism of the said comma category is a commuting square parametrized by the pair (f, g) and spanning the area from h to h':S(A')→T(B') and from S(f) to T(g)."
        }
      ],
      "glosses": [
        "A category built out of a pair of functors that have the same codomain."
      ],
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          "category theory",
          "category theory"
        ],
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          "functor",
          "functor"
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        "(category theory) A category built out of a pair of functors that have the same codomain."
      ],
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        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ],
      "wikipedia": [
        "comma category"
      ]
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "word": "Kommakategorie"
    },
    {
      "code": "ko",
      "lang": "Korean",
      "roman": "swimpyo beomju",
      "sense": "Translations",
      "word": "쉼표 범주"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "kategorija zapjatoj",
      "sense": "Translations",
      "word": "категория запятой"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "Translations",
      "word": "categoría coma"
    }
  ],
  "word": "comma category"
}