In category theory, a weak n-category is a generalization of the notion of strict n-category where composition and identities are not strictly associative...

2-category. These n-isomorphisms must well behave between hom-sets and expressing this is the difficulty in the definition of weak n-categories. Weak 2-categories...

half hour without getting a splitting headache. n-category Erdős number 2-category Weak n-category Freed, Dan (2001). "The Verlinde Algebra is Twisted...

specifically category theory, a quasi-category (also called quasicategory, weak Kan complex, inner Kan complex, infinity category, ∞-category, Boardman complex...

particularly in homotopy theory, a model category is a category with distinguished classes of morphisms ('arrows') called 'weak equivalences', 'fibrations' and...

{g}}&C\end{array}}} Any category with pullbacks and products has equalizers. A weak pullback of a cospan X → Z ← Y is a cone over the cospan that is only weakly universal...

definition of 2-categories. A similar process for 3-categories leads to tricategories, and more generally to weak n-categories for n-categories. Formally,...

specifically in category theory, a preadditive category is another name for an Ab-category, i.e., a category that is enriched over the category of abelian...

In mathematics, specifically in category theory, an additive category is a preadditive category C admitting all finitary biproducts. There are two equivalent...

prototypical example of an abelian category is the category of abelian groups, Ab. Abelian categories are very stable categories; for example they are regular...