Explore: Closed Categories (mathematics)

a morphism defined on one of the factors. These categories are particularly important in mathematical logic and the theory of programming, in that their

In category theory, a branch of mathematics, a closed category is a special kind of category. In a locally small category, the external hom (x, y) maps

terms of categories, and doing so often reveals deep insights and similarities between seemingly different areas of mathematics. As such, category theory

mathematics, especially in category theory, a closed monoidal category (or a monoidal closed category) is a category that is both a monoidal category

In mathematics, a *-autonomous (read "star-autonomous") category C is a symmetric monoidal closed category equipped with a dualizing object ⊥ {\displaystyle

In category theory, a branch of abstract mathematics, an equivalence of categories is a relation between two categories that establishes that these categories

term groupoid is "perhaps most often used in modern mathematics" in the sense given to it in category theory. According to Bergman and Hausknecht (1996):

Category theory is a general theory of mathematical structures and their relations. It was introduced by Samuel Eilenberg and Saunders Mac Lane in the

Control theory is a field of control engineering and applied mathematics that deals with the control of dynamical systems. The objective is to develop

closed model categories is sometimes thought of as homotopical algebra. The definition given initially by Quillen was that of a closed model category