Global element

Global element

In a category theory, a global element of an object "A" of a category is an arrow: "h" : 1 → "A"where 1 is a terminal object of the category. Global elements allow to partially reconstruct element-wise thinking known from set theory within a category. However, the whole is more than the sum of its parts, i.e. an object need not be determined by its global elements (not even up to isomorphism).


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