"classifying morphism" meaning in All languages combined

See classifying morphism on Wiktionary

Noun [English]

Forms: classifying morphisms [plural]
Head templates: {{en-noun}} classifying morphism (plural classifying morphisms)
  1. (category theory) A morphism from an object to the subobject classifier which corresponds to a unique subobject of the said object, which subobject is the pullback, along this morphism, of the "true" global element of the subobject classifier. Categories (topical): Category theory
    Sense id: en-classifying_morphism-en-noun-fg~88MBV Categories (other): English entries with incorrect language header Topics: category-theory, computing, engineering, mathematics, natural-sciences, physical-sciences, sciences

Inflected forms

Download JSON data for classifying morphism meaning in All languages combined (1.6kB)

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      "glosses": [
        "A morphism from an object to the subobject classifier which corresponds to a unique subobject of the said object, which subobject is the pullback, along this morphism, of the \"true\" global element of the subobject classifier."
      ],
      "id": "en-classifying_morphism-en-noun-fg~88MBV",
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        [
          "subobject classifier",
          "subobject classifier"
        ],
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        ],
        [
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        ],
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      ],
      "raw_glosses": [
        "(category theory) A morphism from an object to the subobject classifier which corresponds to a unique subobject of the said object, which subobject is the pullback, along this morphism, of the \"true\" global element of the subobject classifier."
      ],
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  "word": "classifying morphism"
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        "(category theory) A morphism from an object to the subobject classifier which corresponds to a unique subobject of the said object, which subobject is the pullback, along this morphism, of the \"true\" global element of the subobject classifier."
      ],
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        "mathematics",
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        "physical-sciences",
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      ]
    }
  ],
  "word": "classifying morphism"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-09 from the enwiktionary dump dated 2024-05-02 using wiktextract (4d5d0bb and edd475d). 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.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.