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16 Finite skeletal discrete categories
 16.1 GAP Categories
 16.2 Constructors
 16.3 Attributes
 16.4 Properties

16 Finite skeletal discrete categories

16.1 GAP Categories

16.1-1 IsFiniteSkeletalDiscreteCategory
‣ IsFiniteSkeletalDiscreteCategory( C )( filter )

Returns: true or false

The GAP type of a finite skeletal discrete category.

16.1-2 IsObjectInFiniteSkeletalDiscreteCategory
‣ IsObjectInFiniteSkeletalDiscreteCategory( O )( filter )

Returns: true or false

The GAP type of an object in a finite skeletal discrete category.

16.1-3 IsMorphismInFiniteSkeletalDiscreteCategory
‣ IsMorphismInFiniteSkeletalDiscreteCategory( M )( filter )

Returns: true or false

The GAP type of a morphism in a finite skeletal discrete category.

16.2 Constructors

16.2-1 FiniteSkeletalDiscreteCategory
‣ FiniteSkeletalDiscreteCategory( arg )( function )

Returns: a CAP category

Construct a finite skeletal discrete category.

16.3 Attributes

16.3-1 UnderlyingListOfGAPObjects
‣ UnderlyingListOfGAPObjects( arg )( attribute )

Returns: a list of CAP objects

The underlying GAP objects of a finite skeletal discrete category.

16.3-2 UnderlyingGAPObject
‣ UnderlyingGAPObject( arg )( attribute )

Returns: a CAP object

The underlying GAP object of an object in a finite skeletal discrete category.

16.4 Properties

16.4-1 IsDiscreteCategory
‣ IsDiscreteCategory( C )( property )

Returns: true or false

The property of C being a discrete CAP category, i.e., equivalent to a category in which any morphism is an identity.

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