# Definition of Functors. Meaning of Functors. Synonyms of Functors

Here you will find one or more explanations in English for the word Functors. Also in the bottom left of the page several parts of wikipedia pages related to the word Functors and, of course, Functors synonyms and on the right images related to the word Functors.

## Definition of Functors

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## Meaning of Functors from wikipedia

- maps between spaces. Nowadays, functors are used throughout modern mathematics to relate various categories. Thus, functors are important in all areas within...
- 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...
- is a relationship that two functors may have. Two functors that stand in this relationship are known as adjoint functors, one being the left adjoint...
- Presh(D) denotes the category of contravariant functors from D to the category of sets; such a contravariant functor is frequently called a presheaf. Giraud's...
- In mathematics, certain functors may be derived to obtain other functors closely related to the original ones. This operation, while fairly abstract, unifies...
- an applicative functor, or an applicative for short, is an intermediate structure between functors and monads. Applicative functors allow for functorial...
- instead of this definition. section about Functor in Haskell Typeclassopedia chapter 11 Functors, Applicative Functors and Monoids in Learn You a Haskell for...
- A functor, in mathematics, is a map between categories. Functor may also refer to: Predicate functor in logic, a basic concept of predicate functor logic...
- of adjoint functors is that every right adjoint functor is continuous and every left adjoint functor is cocontinuous. Since adjoint functors exist in abundance...
- between objects, give rise to important functors to the category of sets. These functors are called hom-functors and have numerous applications in category...