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1 Subcategories
 1.1 GAP categories
 1.2 Global variables
 1.3 Attributes
 1.4 Constructors

1 Subcategories

1.1 GAP categories

1.1-1 IsCapSubcategory
‣ IsCapSubcategory( arg )( filter )

Returns: true or false

The GAP category of a subcategory.

1.1-2 IsCapSubcategoryGeneratedByFiniteNumberOfMorphisms
‣ IsCapSubcategoryGeneratedByFiniteNumberOfMorphisms( arg )( filter )

Returns: true or false

The GAP category of a subcategory generated by finite number of morphisms.

1.1-3 IsCellInASubcategory
‣ IsCellInASubcategory( arg )( filter )

Returns: true or false

The GAP category of cells in a subcategory.

1.1-4 IsObjectInASubcategory
‣ IsObjectInASubcategory( arg )( filter )

Returns: true or false

The GAP category of objects in a subcategory.

1.1-5 IsMorphismInASubcategory
‣ IsMorphismInASubcategory( arg )( filter )

Returns: true or false

The GAP category of morphisms in a subcategory.

1.2 Global variables

1.2-1 CAP_INTERNAL_METHOD_NAME_LIST_FOR_SUBCATEGORY
‣ CAP_INTERNAL_METHOD_NAME_LIST_FOR_SUBCATEGORY( global variable )

1.3 Attributes

1.3-1 UnderlyingCell
‣ UnderlyingCell( cell )( attribute )

Returns: a CAP cell

The cell in the ambient category underlying cell.

1.3-2 SetOfKnownObjects
‣ SetOfKnownObjects( A )( attribute )

Returns: a list

The set of known objects of the subcategory A.

1.3-3 AmbientCategory
‣ AmbientCategory( A )( attribute )

Returns: a list

The ambient category of the subcategory A.

1.4 Constructors

1.4-1 Subcategory
‣ Subcategory( C, name )( operation )

1.4-2 AsSubcategoryCell
‣ AsSubcategoryCell( D, c )( operation )

1.4-3 AsSubcategoryCell
‣ AsSubcategoryCell( source, mor, range )( operation )

1.4-4 \/
‣ \/( c, D )( operation )

1.4-5 SubcategoryGeneratedByListOfMorphisms
‣ SubcategoryGeneratedByListOfMorphisms( C, L )( function )

Returns: CapSubcategory

The input is a list of morphisms L in the same category. The output is the subcategory generated by L.

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