‣ IsWrapperCapCategory ( arg ) | ( filter ) |
Returns: true
or false
The GAP category of a wrapper CAP category.
‣ IsWrapperCapCategoryObject ( arg ) | ( filter ) |
Returns: true
or false
The GAP category of objects in a wrapper CAP category.
‣ IsWrapperCapCategoryMorphism ( arg ) | ( filter ) |
Returns: true
or false
The GAP category of morphisms in a wrapper CAP category.
‣ UnderlyingCell ( object ) | ( attribute ) |
Returns: a category object
The cell underlying the wrapper category object object.
‣ UnderlyingCell ( morphism ) | ( attribute ) |
Returns: a category morphism
The cell underlying the wrapper category morphism morphism.
‣ AsObjectInWrapperCategory ( category, object ) | ( operation ) |
Returns: an object
Wrap an object object (in the category underlying the wrapper category category) to form an object in category.
‣ AsMorphismInWrapperCategory ( source, morphism, range ) | ( operation ) |
Returns: a morphism
Wrap a morphism morphism (in the category underlying the wrapper category CapCategory(
source)
) to form a morphism in CapCategory(
source)
with given source and range.
‣ AsMorphismInWrapperCategory ( category, morphism ) | ( operation ) |
Returns: a morphism
Wrap a morphism morphism (in the category underlying the wrapper category category) to form a morphism in category.
‣ / ( cell, category ) | ( operation ) |
Convenience method for AsObjectInWrapperCategory
(13.3-1) and AsMorphismInWrapperCategory
(13.3-3).
‣ WrapperCategory ( category, options ) | ( operation ) |
Returns: a category
Wraps a category category to form a new category subject to the options given via options, which is a record with the following keys:
name
(optional): the name of the wrapper category
only_primitive_operations
(optional, default false
): whether to only wrap primitive operations or all operations
Additionally, the following options of CategoryConstructor
(11.2-1) are supported: category_filter
, category_object_filter
, category_morphism_filter
. The filters must imply IsWrapperCapCategory
, IsWrapperCapCategoryObject
, and IsWrapperCapCategoryMorphism
, respectively.
‣ WrappingFunctor ( W ) | ( attribute ) |
Returns: a functor
Return the functor from the wrapped category ModelingCategory
(W) to the wrapper category W which simply wraps objects/morphisms.
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