- maps
between spaces. Nowadays,
functors are used
throughout modern mathematics to
relate various categories. Thus,
functors are
important in all
areas within...
-
relationship that two
functors may exhibit,
intuitively corresponding to a weak form of
equivalence between two
related categories. Two
functors that
stand in...
- of
adjoint functors is that
every right adjoint functor is
continuous and
every left
adjoint functor is cocontinuous.
Since adjoint functors exist in abundance...
- up
functor in Wiktionary, the free dictionary. A
functor, in mathematics, is a map
between categories.
Functor may also
refer to:
Predicate functor in...
-
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...
-
addition to
those functors that
delete some of the operations,
there are
functors that
forget some of the axioms.
There is a
functor from the category...
- used:
trait Functor[F[_]] { def map[A,B](a: F[A])(f: A => B): F[B] }
Functors form a base for more
complex abstractions like
applicative functors, monads...
- 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...
- of
functors (contravariant set-valued
functors)
defined on that category. It also
clarifies how the
embedded category, of
representable functors and...
-
structure always exists. A
functor satisfying this
condition is
called a
topological functor. One can
define topological functors in a
different way, using...
