Definition of Endofunctor. Meaning of Endofunctor. Synonyms of Endofunctor

- morphism on X. Such a functor is called a constant or selection functor. Endofunctor A functor that maps a category to that same category; e.g., polynomial...
- concise terms, a monad is a monoid in the category of endofunctors of some fixed category (an endofunctor is a functor mapping a category to itself). According...
- {\displaystyle F:{\mathcal {C}}\longrightarrow {\mathcal {C}}} be an endofunctor on a category C {\displaystyle {\mathcal {C}}} . An F {\displaystyle...
- F-algebras for a given endofunctor F. This initiality provides a general framework for induction and recursion. Consider the endofunctor 1 + (−), i.e. F :...
- is a category, and F : C → C {\displaystyle F:C\rightarrow C} is an endofunctor of C {\displaystyle C} , then an F {\displaystyle F} -algebra is a tuple...
- (a two-point discrete space) serving as the unit. The category of all endofunctors on a category C is a strict monoidal category with the composition of...
- originally come from category theory, where a monad is defined as an endofunctor with additional structure. Research beginning in the late 1980s and early...
- ****ignment of a coalgebra to its unique morphism to the final coalgebra of an endofunctor. These objects are used in functional programming as unfolds. The categorical...
- In algebra, a polynomial functor is an endofunctor on the category V {\displaystyle {\mathcal {V}}} of finite-dimensional vector spaces that depends polynomially...
- sense, this can be taken as the definition of a limit or colimit. The endofunctor Hom(E, –) : Set → Set can be given the structure of a monad; this monad...