underlying functor
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English
Noun
underlying functor (plural underlying functors)
- (category theory) a forgetful functor
- 1995, Michael Barr with Charles Wells, Category Theory for Computing Science, 2nd edition, University Press, Cambridge, Great Britain: Prentice Hall, §3.1.10, page 57:
- 3.1.10 Example If you forget 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 , since every functor is a graph homomorphism although not vice versa.
