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Meaning of underlying functor | Babel Free

Noun CEFR B2

Definitions

a forgetful functor

Examples

“3.1.10 Example If you forget [that] you can compose arrows in a category and you forget which arrows are the identities, then you have remembered only that the category is a graph. This gives an underlying functor U#58;#92;mathbf#123;Cat#125;#92;rightarrow#92;mathbf#123;Grf#125;, since every functor is a graph homomorphism although not vice versa.”

CEFR level

B2
Upper Intermediate
This word is part of the CEFR B2 vocabulary — upper intermediate level.

See also

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