natural transformation
Naturality square between two components, ηX and ηY, of a natural transformation η:F→G. The space between the top and the bottom represents the difference between applying the first and the second functor to objects X, Y, and arrow f of their shared domain.
Noun
- A morphism between a pair of parallel functors such that if each object of the shared domain category subtends a correlated arrow — called a component — in the shared codomain (which arrow represents the difference between applying the second functor and the first functor to the correlated object) then each arrow of the shared domain subtends a commuting square — called a naturality square — between two components (correlated to the domain and codomain of the arrow).
Modern English dictionary
Explore and search massive catalog of over 900,000 word meanings.
Word of the Day
Get a curated memorable word every day.
Challenge yourself
Level up your vocabulary by setting personal goals.
And much more
Try out Vedaist now.