"faithful functor" meaning in English

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      "glosses": [
        "A functor which maps morphisms from its source to its target category in such a way that the restriction of that mapping to any source hom-set is injective into the corresponding target hom-set."
      ],
      "id": "en-faithful_functor-en-noun-pyLB5b2F",
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          "hom-set",
          "hom-set"
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        "(category theory) A functor which maps morphisms from its source to its target category in such a way that the restriction of that mapping to any source hom-set is injective into the corresponding target hom-set."
      ],
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      "wikipedia": [
        "full and faithful functors"
      ]
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  "word": "faithful functor"
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        "A functor which maps morphisms from its source to its target category in such a way that the restriction of that mapping to any source hom-set is injective into the corresponding target hom-set."
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        "(category theory) A functor which maps morphisms from its source to its target category in such a way that the restriction of that mapping to any source hom-set is injective into the corresponding target hom-set."
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