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This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-05-27 and was most recently seen on 2026-05-27.
In mathematics, more specifically in the area of category theory, a forgetful functor "forgets" or drops some or all of the input's structure or properties before mapping to the output. For an algebraic structure of a given signature, this may be expressed by curtailing the signature: the new signature is an edited form of the old one. If the signature is left as an empty list, the functor is simply to take the underlying set of a structure. Because many structures in mathematics consist of a set with an additional added structure, a forgetful functor that maps to the underlying set is the most common case.
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