SetsWithPartialMaps¶
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sage.categories.sets_with_partial_maps.
SetsWithPartialMaps
¶ The category whose objects are sets and whose morphisms are maps that are allowed to raise a ValueError on some inputs.
This category is equivalent to the category of pointed sets, via the equivalence sending an object X to X union {error}, a morphism f to the morphism of pointed sets that sends x to f(x) if f does not raise an error on x, or to error if it does.
EXAMPLES:
sage: SetsWithPartialMaps() Category of sets with partial maps sage: SetsWithPartialMaps().super_categories() [Category of objects]