Definition of Endofunctor. Meaning of Endofunctor. Synonyms of Endofunctor

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

Definition of Endofunctor

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Meaning of Endofunctor from wikipedia

- 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...
- F-algebras for a given endofunctor F. This initiality provides a general framework for induction and recursion. Consider the endofunctor 1 + (−), i.e. F :...
- {\displaystyle F:{\mathcal {C}}\longrightarrow {\mathcal {C}}} be an endofunctor on a category C {\displaystyle {\mathcal {C}}} . An F {\displaystyle...
- 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...
- In algebra, a polynomial functor is an endofunctor on the category V {\displaystyle {\mathcal {V}}} of finite-dimensional vector spaces that depends polynomially...
- 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...
- 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...