"decategorification" meaning in All languages combined

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "de",
        "3": "categorification"
      },
      "expansion": "de- + categorification",
      "name": "prefix"
    }
  ],
  "etymology_text": "From de- + categorification.",
  "forms": [
    {
      "form": "decategorifications",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "decategorification (plural decategorifications)",
      "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 terms prefixed with de-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2013, Octavian Iordache, Polytope Projects, →ISBN, page 6:",
          "text": "For the n-levels systems approach we may associate categorification with increasing the level and decategorification with decreasing the level of complexity.",
          "type": "quote"
        }
      ],
      "glosses": [
        "The reverse process of categorification: The mapping of a category theoretic category to a set by using a systematic process in which isomorphic objects in a category are identified as equal."
      ],
      "id": "en-decategorification-en-noun-rpyxG4IA",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "categorification",
          "categorification"
        ],
        [
          "category theoretic",
          "category theory"
        ],
        [
          "category",
          "category"
        ],
        [
          "set",
          "set"
        ],
        [
          "isomorphic",
          "isomorphic"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The reverse process of categorification: The mapping of a category theoretic category to a set by using a systematic process in which isomorphic objects in a category are identified as equal."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "decategorification"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "de",
        "3": "categorification"
      },
      "expansion": "de- + categorification",
      "name": "prefix"
    }
  ],
  "etymology_text": "From de- + categorification.",
  "forms": [
    {
      "form": "decategorifications",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "decategorification (plural decategorifications)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms prefixed with de-",
        "English terms with quotations",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2013, Octavian Iordache, Polytope Projects, →ISBN, page 6:",
          "text": "For the n-levels systems approach we may associate categorification with increasing the level and decategorification with decreasing the level of complexity.",
          "type": "quote"
        }
      ],
      "glosses": [
        "The reverse process of categorification: The mapping of a category theoretic category to a set by using a systematic process in which isomorphic objects in a category are identified as equal."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "categorification",
          "categorification"
        ],
        [
          "category theoretic",
          "category theory"
        ],
        [
          "category",
          "category"
        ],
        [
          "set",
          "set"
        ],
        [
          "isomorphic",
          "isomorphic"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The reverse process of categorification: The mapping of a category theoretic category to a set by using a systematic process in which isomorphic objects in a category are identified as equal."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "decategorification"
}