"slice category" meaning in English

See slice category in All languages combined, or Wiktionary

Noun

Forms: slice categories [plural]
Head templates: {{en-noun}} slice category (plural slice categories)
  1. (category theory) A category whose objects are morphisms (of some given category) with a common codomain, and whose morphisms are commuting triangles where two morphisms of each of such triangles share the said common codomain. Categories (topical): Category theory Synonyms: overcategory Hypernyms: comma category

Inflected forms

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  "antonyms": [
    {
      "word": "coslice category"
    }
  ],
  "forms": [
    {
      "form": "slice categories",
      "tags": [
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      "expansion": "slice category (plural slice categories)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "name": "English entries with incorrect language header",
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      ],
      "glosses": [
        "A category whose objects are morphisms (of some given category) with a common codomain, and whose morphisms are commuting triangles where two morphisms of each of such triangles share the said common codomain."
      ],
      "hypernyms": [
        {
          "word": "comma category"
        }
      ],
      "id": "en-slice_category-en-noun-SDZcEqAz",
      "links": [
        [
          "category theory",
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        ]
      ],
      "raw_glosses": [
        "(category theory) A category whose objects are morphisms (of some given category) with a common codomain, and whose morphisms are commuting triangles where two morphisms of each of such triangles share the said common codomain."
      ],
      "synonyms": [
        {
          "word": "overcategory"
        }
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ]
    }
  ],
  "word": "slice category"
}
{
  "antonyms": [
    {
      "word": "coslice category"
    }
  ],
  "forms": [
    {
      "form": "slice categories",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "slice category (plural slice categories)",
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  "hypernyms": [
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      "word": "comma category"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        "A category whose objects are morphisms (of some given category) with a common codomain, and whose morphisms are commuting triangles where two morphisms of each of such triangles share the said common codomain."
      ],
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          "category theory",
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      "raw_glosses": [
        "(category theory) A category whose objects are morphisms (of some given category) with a common codomain, and whose morphisms are commuting triangles where two morphisms of each of such triangles share the said common codomain."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ]
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  ],
  "synonyms": [
    {
      "word": "overcategory"
    }
  ],
  "word": "slice category"
}

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-02-03 from the enwiktionary dump dated 2025-01-20 using wiktextract (05fdf6b and 9dbd323). 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.

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