Packages

trait Lan[G[_], H[_], A] extends AnyRef

The left Kan extension of H along G

Self Type
Lan[G, H, A]
Source
Kan.scala
Linear Supertypes
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. Lan
  2. AnyRef
  3. Any
  1. Hide All
  2. Show All
Visibility
  1. Public
  2. All

Type Members

  1. abstract type I

Abstract Value Members

  1. abstract def f(gi: G[I]): A
  2. abstract def v: H[I]

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  5. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... ) @native()
  6. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  7. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  8. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  9. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  10. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  11. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  12. def map[B](g: (A) ⇒ B): Lan[G, H, B]
  13. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  14. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  15. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  16. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  17. def toAdjoint[F[_]](implicit H: Functor[H], A: Adjunction[G, F]): H[F[A]]

    If G is left adjoint to F, there is a natural isomorphism between Lan[G,H,_] and H[F[_]]

  18. def toLan[F[_]](s: ~>[H, [α]F[G[α]]])(implicit arg0: Functor[F]): F[A]

    The universal property of a left Kan extension.

    The universal property of a left Kan extension. The functor Lan[G,H,_] and the natural transformation glan[G,H,_] are universal in the sense that for any functor F and a natural transformation s from H to F[G[_]], a unique natural transformation toLan exists from Lan[G,H,_] to F such that for all h, glan(h).toLan = s(h).

  19. def toString(): String
    Definition Classes
    AnyRef → Any
  20. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  21. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  22. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... ) @native()

Inherited from AnyRef

Inherited from Any

Ungrouped