Definitions from Wiktionary (subobject)

▸ noun:  An object that is part of another object.
▸ noun:  (category theory) An object and a monomorphism from it to another object, which monomorphism is interpreted as an inclusion. Actually it is an equivalence class of monomorphisms to the same object, where the equivalence relation is the ability of a pair of monomorphisms to factor through each other.




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