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3 Finite cocompletion of a finitely presented (linear) category
 3.1 Constructors
 3.2 Attributes
 3.3 GAP Categories

3 Finite cocompletion of a finitely presented (linear) category

3.1 Constructors

3.1-1 FiniteCocompletion
‣ FiniteCocompletion( B )( operation )
‣ FiniteCocompletion( B, H )( operation )

Returns: a CAP category

Construct a finite cocompletion category.

3.2 Attributes

3.2-1 UnderlyingCategory
‣ UnderlyingCategory( finite_cocompletion )( attribute )

3.2-2 YonedaEmbeddingOfUnderlyingCategory
‣ YonedaEmbeddingOfUnderlyingCategory( finite_cocompletion )( attribute )

Returns: a CAP functor

3.3 GAP Categories

3.3-1 IsFiniteCocompletion
‣ IsFiniteCocompletion( category )( filter )

Returns: true or false

The GAP category of a finite cocompletion category.

3.3-2 IsCellInFiniteCocompletion
‣ IsCellInFiniteCocompletion( cell )( filter )

Returns: true or false

The GAP category of cells in a finite cocompletion category.

3.3-3 IsObjectInFiniteCocompletion
‣ IsObjectInFiniteCocompletion( obj )( filter )

Returns: true or false

The GAP category of objects in a finite cocompletion category.

3.3-4 IsMorphismInFiniteCocompletion
‣ IsMorphismInFiniteCocompletion( mor )( filter )

Returns: true or false

The GAP category of morphisms in a finite cocompletion category.

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