Opposite Category

(Category Theory)


Category Theory
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What is Opposite category?

In category theory, a branch of mathematics, the opposite category or dual category Cop of a given category C is formed by reversing the morphisms, i.e. interchanging the source and target of each morphism. Doing the reversal twice yields the original category, so the opposite of an opposite category is the original category itself. In symbols, .

Technology Types

category theory


Categoría opuesta (es)Opačná kategorie (cs)Tegenovergestelde categorie (nl)Двойственная категория (ru)反対圏 (ja)

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