Definition of Functors. Meaning of Functors. Synonyms of Functors

- maps between spaces. Nowadays, functors are used throughout modern mathematics to relate various categories. Thus, functors are important in all areas within...
- relationship that two functors may exhibit, intuitively corresponding to a weak form of equivalence between two related categories. Two functors that stand in...
- 11 Functors, Applicative Functors and Monoids in Learn You a Haskell for Great Good! Do****entation for Functor in Cats library Section about Functor in...
- contravariant functor acts as a covariant functor from the opposite category Cop to D. A natural transformation is a relation between two functors. Functors often...
- addition to those functors that delete some of the operations, there are functors that forget some of the axioms. There is a functor from the category...
- up functor in Wiktionary, the free dictionary. A functor, in mathematics, is a map between categories. Functor may also refer to: Predicate functor in...
- between objects) give rise to important functors to the category of sets. These functors are called hom-functors and have numerous applications in category...
- of adjoint functors is that every right adjoint functor is continuous and every left adjoint functor is cocontinuous. Since adjoint functors exist in abundance...
- theory, monoidal functors are functors between monoidal categories which preserve the monoidal structure. More specifically, a monoidal functor between two...
- other settings. From another point of view, representable functors for a category C are the functors given with C. Their theory is a vast generalisation of...