Last Updated
：2025/12/04
faithful functor
Noun
Japanese Meaning
カテゴリ理論における忠実な関手。すなわち、始源となるカテゴリの各ホム集合における射の写像が、その対応する対象のホム集合内で単射（すなわち異なる射が異なる像に写る）となるように定義される関手を指す。
（ plural ）
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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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faithful functor
A faithful functor can distinguish non-equal morphisms by mapping them to distinct morphisms in the target category.
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A faithful functor can distinguish non-equal morphisms by mapping them to distinct morphisms in the target category.
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