underlying functor
Hello, you have come here looking for the meaning of the word underlying functor. In DICTIOUS you will not only get to know all the dictionary meanings for the word underlying functor, but we will also tell you about its etymology, its characteristics and you will know how to say underlying functor in singular and plural. Everything you need to know about the word underlying functor you have here. The definition of the word underlying functor will help you to be more precise and correct when speaking or writing your texts. Knowing the definition ofunderlying functor, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.
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 [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 , since every functor is a graph homomorphism although not vice versa.
