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Because a full functor sends each hom-set in the source onto the corresponding hom-set in the target, it often allows properties of morphisms to be studied entirely within the image category.
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Because a full functor sends each hom-set in the source onto the corresponding hom-set in the target, it often allows properties of morphisms to be studied entirely within the image category.
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Related words
full functor
Noun
Japanese Meaning
圏論において、ソースの圏からターゲットの圏へ射を写す際、各Hom集合（射集合）上での写像が全射（surjective）となるような関手のこと。つまり、全ての対象の射に対して、その像が対応するターゲットの射集合を網羅する関手。
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