In mathematics, a direct limit (also called inductive limit) is a colimit of a "directed family of objects". We will first give the definition for algebraic structures like groups and modules, and then the general definition which can be used in any category.
Read more about Direct Limit: Examples, Related Constructions and Generalizations
Famous quotes containing the words direct and/or limit:
“No direct hit to smash the shatter-proof
And lodge at last the quivering needle
Clean in the eye of one who stands transfixed
In fascination of her brightness.”
—Karl Shapiro (b. 1913)
“Greatness collapses of itself: such limit the gods have set to the growth of prosperous states.”
—Marcus Annaeus Lucan (3965)