- In mathematics,
specifically category theory, a
functor is a
mapping between categories.
Functors were
first considered in
algebraic topology,
where algebraic...
-
relationship that two
functors may exhibit,
intuitively corresponding to a weak form of
equivalence between two
related categories. Two
functors that
stand in...
- like the
strongly related notions of
universal properties and
adjoint functors,
exist at a high
level of abstraction. In
order to
understand them, it...
- is a
fundamental result in
category theory. It is an
abstract result on
functors of the type
morphisms into a
fixed object. It is a vast generalisation...
-
between objects) give rise to
important functors to the
category of sets.
These functors are
called hom-
functors and have
numerous applications in 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...
- a
branch of mathematics, a
functor category D C {\displaystyle D^{C}} is a
category where the
objects are the
functors F : C → D {\displaystyle F:C\to...
-
particularly homological algebra, an
exact functor is a
functor that
preserves short exact sequences.
Exact functors are
convenient for
algebraic calculations...
- In
functional programming, a
functor is a
design pattern inspired by the
definition from
category theory that
allows one to
apply a
function to values...
- In mathematics,
certain functors may be
derived to
obtain other functors closely related to the
original ones. This operation,
while fairly abstract, unifies...
