Limit (category Theory)
In category theory, a branch of mathematics, the abstract notion of a limit captures the essential properties of universal constructions such as products, pullbacks and inverse limits. The dual notion of a colimit generalizes constructions such as disjoint unions, direct sums, coproducts, pushouts and direct limits.
Limits and colimits, like the strongly related notions of universal properties and adjoint functors, exist at a high level of abstraction. In order to understand them, it is helpful to first study the specific examples these concepts are meant to generalize.
Read more about Limit (category Theory): Definition, Functors and Limits, A Note On Terminology
Famous quotes containing the word limit:
“The only limit to our realization of tomorrow will be our doubts of today. Let us move forward with strong and active faith.”
—Franklin D. Roosevelt (18821945)