tricategory

tricategory
A higher-dimensional form of category

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  • Tricategory — In mathematics, a tricategory is a kind of structure of category theory studied in higher dimensional category theory. Whereas a weak 2 category is said to be a bicategory [Benabou 1967] , a weak 3 category is said to be a tricategory (Gordon,… …   Wikipedia

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  • Weak n-category — In category theory, weak n categories are a generalization of the notion of (strict) n category where composition is not strictly associative but only associative up to an isomorphism, which is itself associative up to an isomorphism, which is… …   Wikipedia

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