What does underlying functor mean?

underlying functor

Word Rarity Very rare

Frequency: Zipf frequency 2.15 in modern English

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noun

"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."

underlying functors (plural)

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