## Functor

In category theory, a branch of mathematics, a **functor** is a special type of mapping between categories. Functors can be thought of as homomorphisms between categories, or morphisms when in the category of small categories.

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### Some articles on functor:

Amnestic

... In the mathematical field of category theory, an amnestic

**Functor**... In the mathematical field of category theory, an amnestic

**functor**F A → B is a**functor**for which A-isomorphism ƒ is an identity whenever Fƒ is an identity ...**Functor**- Relation To Other Categorical Concepts

... The collection of all

**functors**C→D form the objects of a category the

**functor**category ... Morphisms in this category are natural transformations between

**functors**...

**Functors**are often defined by universal properties examples are the tensor product, the direct sum and direct product of groups or vector spaces, construction of ...

Stone

... In mathematics, the Stone

**Functor**... In mathematics, the Stone

**functor**is a**functor**S Topop → Bool, where Top is the category of topological spaces and Bool is the category of Boolean algebras and Boolean homomorphisms ...Size

... real continuous function defined on it, the -th size

**Functor**... real continuous function defined on it, the -th size

**functor**, with, denoted by, is the**functor**in, where is the category of ordered real numbers, and is the category of ... to , for each, In other words, the size**functor**studies the process of the birth and death of homology classes as the lower level set changes ... When is smooth and compact and is a Morse function, the**functor**can be described by oriented trees, called − trees ...Schur

... field of representation theory, a Schur

**Functor**... field of representation theory, a Schur

**functor**is a**functor**from the category of modules over a fixed commutative ring to itself ... Schur**functors**are indexed by partitions and are described as follows ... of R-modules is the image of E under the Schur**functor**indexed by λ ...Main Site Subjects

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