(category theory) The category opposite to that of a slice category.

(category theory) A category built out of a pair of functors that have the same codomain.

plural of category reference

(information science) A reference that specifies within some taxonomy or text typology one or more defined categories into which the referenced article, computer file etc. belongs.

plural of category killer

(business, US) A retailer that offers a wider selection of merchandise in a category than existing retailers, at lower prices, thereby gaining substantial share of the market and "killing" the existing retailers.

(mathematics) A branch of mathematics which deals with spaces and maps between them in abstraction, taking similar theorems from various disparate more concrete branches of mathematics and unifying them.

(category theory) A cartesian closed category which also has an initial object and such that for any pair of objects, A and B, in the category, the category has another object which is their coproduct, A∐B.

(category theory) A category which has a terminal object and which for every two objects A and B has a product A × B and an exponential object Bᴬ.

plural of lexical category