"pseudofunctor" meaning in English

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  "etymology_text": "pseudo- + functor",
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      "form": "pseudofunctors",
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        "A mapping between categories that is just like a functor except that f(x∘y)=f(x)∘f(y) and f(1)=1 do not hold as exact equalities but only up to coherent isomorphisms."
      ],
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          "functor",
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        "(mathematics) A mapping between categories that is just like a functor except that f(x∘y)=f(x)∘f(y) and f(1)=1 do not hold as exact equalities but only up to coherent isomorphisms."
      ],
      "topics": [
        "mathematics",
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        "pseudofunctor"
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  "word": "pseudofunctor"
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{
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  ],
  "etymology_text": "pseudo- + functor",
  "forms": [
    {
      "form": "pseudofunctors",
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  "lang": "English",
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      "glosses": [
        "A mapping between categories that is just like a functor except that f(x∘y)=f(x)∘f(y) and f(1)=1 do not hold as exact equalities but only up to coherent isomorphisms."
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      "raw_glosses": [
        "(mathematics) A mapping between categories that is just like a functor except that f(x∘y)=f(x)∘f(y) and f(1)=1 do not hold as exact equalities but only up to coherent isomorphisms."
      ],
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        "mathematics",
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