natural transformation
A morphism between a pair of parallel functors such that if each object of the shared…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).
Meaning
1 sensesA 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).
natürliche Transformation
естественное преобразованиеjestestvennoje preobrazovanije
Translations
3 languagesBy meaning 1
By meaning 1
Forms
plural: natural transformations| Singular | natural transformation |
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| Plural | natural transformations |
regular