"contravariant functor" meaning in All languages combined

{
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    {
      "form": "contravariant functors",
      "tags": [
        "plural"
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      "expansion": "contravariant functor (plural contravariant functors)",
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  "lang_code": "en",
  "pos": "noun",
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      "examples": [
        {
          "text": "A contravariant functor F#x3A;#x5C;mathcal#x7B;C#x7D;#x5C;rightarrow#x5C;mathcal#x7B;D#x7D; is the same as a covariant functor F#x3A;#x5C;mathcal#x7B;C#x7D;#x7B;op#x7D;#x5C;rightarrow#x5C;mathcal#x7B;D#x7D;.",
          "type": "example"
        }
      ],
      "glosses": [
        "A functor which maps a morphism f:X → Y to a morphism F(f):F(Y) → F(X), such that if h=g∘f, then F(h)=F(f)∘F(g)."
      ],
      "id": "en-contravariant_functor-en-noun-~4Tho6ST",
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          "category theory",
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          "functor",
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          "morphism",
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        ]
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      "raw_glosses": [
        "(category theory) A functor which maps a morphism f:X → Y to a morphism F(f):F(Y) → F(X), such that if h=g∘f, then F(h)=F(f)∘F(g)."
      ],
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        "category-theory",
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        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "category theory: functor",
          "tags": [
            "masculine"
          ],
          "word": "hjávarpi"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "category theory: functor",
          "tags": [
            "masculine"
          ],
          "word": "andbrigður varpi"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "category theory: functor",
          "tags": [
            "masculine"
          ],
          "word": "mótbrigður varpi"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "category theory: functor",
          "tags": [
            "masculine"
          ],
          "word": "functor/funtor contravariante"
        }
      ]
    }
  ],
  "word": "contravariant functor"
}

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      "form": "contravariant functors",
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        "A functor which maps a morphism f:X → Y to a morphism F(f):F(Y) → F(X), such that if h=g∘f, then F(h)=F(f)∘F(g)."
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        "(category theory) A functor which maps a morphism f:X → Y to a morphism F(f):F(Y) → F(X), such that if h=g∘f, then F(h)=F(f)∘F(g)."
      ],
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  "translations": [
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "category theory: functor",
      "tags": [
        "masculine"
      ],
      "word": "hjávarpi"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "category theory: functor",
      "tags": [
        "masculine"
      ],
      "word": "andbrigður varpi"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "category theory: functor",
      "tags": [
        "masculine"
      ],
      "word": "mótbrigður varpi"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "category theory: functor",
      "tags": [
        "masculine"
      ],
      "word": "functor/funtor contravariante"
    }
  ],
  "word": "contravariant functor"
}