"categorical product" meaning in English

{
  "forms": [
    {
      "form": "categorical products",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "categorical product (plural categorical products)",
      "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": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Russian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "The categorical product generalises the Cartesian product of sets, product of topological spaces and direct product of groups.",
          "type": "example"
        }
      ],
      "glosses": [
        "The limit of two (or more) objects, considered without regard to any arrows between them."
      ],
      "hypernyms": [
        {
          "word": "limit"
        }
      ],
      "hyponyms": [
        {
          "word": "Cartesian product"
        },
        {
          "word": "direct product"
        },
        {
          "word": "product space"
        }
      ],
      "id": "en-categorical_product-en-noun-Q8r-HFnS",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "limit",
          "limit"
        ],
        [
          "objects",
          "objects"
        ],
        [
          "arrow",
          "arrow"
        ]
      ],
      "meronyms": [
        {
          "word": "projection"
        }
      ],
      "raw_glosses": [
        "(mathematics) The limit of two (or more) objects, considered without regard to any arrows between them."
      ],
      "related": [
        {
          "word": "coproduct"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "kategornoje proizvedenije",
          "sense": "mathematical construction",
          "tags": [
            "neuter"
          ],
          "word": "категорное произведение"
        }
      ],
      "wikipedia": [
        "Product (category theory)"
      ]
    }
  ],
  "word": "categorical product"
}

{
  "forms": [
    {
      "form": "categorical products",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "categorical product (plural categorical products)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "limit"
    }
  ],
  "hyponyms": [
    {
      "word": "Cartesian product"
    },
    {
      "word": "direct product"
    },
    {
      "word": "product space"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "meronyms": [
    {
      "word": "projection"
    }
  ],
  "pos": "noun",
  "related": [
    {
      "word": "coproduct"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with usage examples",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with Russian translations",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "The categorical product generalises the Cartesian product of sets, product of topological spaces and direct product of groups.",
          "type": "example"
        }
      ],
      "glosses": [
        "The limit of two (or more) objects, considered without regard to any arrows between them."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "limit",
          "limit"
        ],
        [
          "objects",
          "objects"
        ],
        [
          "arrow",
          "arrow"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The limit of two (or more) objects, considered without regard to any arrows between them."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Product (category theory)"
      ]
    }
  ],
  "translations": [
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "kategornoje proizvedenije",
      "sense": "mathematical construction",
      "tags": [
        "neuter"
      ],
      "word": "категорное произведение"
    }
  ],
  "word": "categorical product"
}