JSci.maths.categories
Class Simplicial

java.lang.Object
  extended by JSci.maths.categories.Simplicial
All Implemented Interfaces:
Category

public final class Simplicial
extends java.lang.Object
implements Category

The Simplicial class encapsulates the simplicial category.


Nested Class Summary
 class Simplicial.Addition
           
 class Simplicial.DegeneracyMap
           
 class Simplicial.FaceMap
           
 class Simplicial.FunctionSet
           
 class Simplicial.IncreasingMap
           
 
Nested classes/interfaces inherited from interface JSci.maths.categories.Category
Category.HomSet, Category.Morphism
 
Field Summary
 Bifunctor ADDITION
           
 
Constructor Summary
Simplicial()
          Constructs a simplicial category.
 
Method Summary
 java.lang.Object cardinality(java.lang.Object a)
          Returns the cardinality of an object.
 Category.HomSet hom(java.lang.Object a, java.lang.Object b)
          Returns a hom-set.
 Category.Morphism identity(java.lang.Object a)
          Returns the identity morphism for an object.
 java.lang.Object terminal()
           
 
Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
 

Field Detail

ADDITION

public final Bifunctor ADDITION
Constructor Detail

Simplicial

public Simplicial()
Constructs a simplicial category.

Method Detail

identity

public Category.Morphism identity(java.lang.Object a)
Returns the identity morphism for an object.

Specified by:
identity in interface Category

cardinality

public java.lang.Object cardinality(java.lang.Object a)
Returns the cardinality of an object.

Specified by:
cardinality in interface Category

hom

public Category.HomSet hom(java.lang.Object a,
                           java.lang.Object b)
Returns a hom-set.

Specified by:
hom in interface Category

terminal

public java.lang.Object terminal()