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:
“Of course it is of no use to direct our steps to the woods, if they do not carry us thither. I am alarmed when it happens that I have walked a mile into the woods bodily, without getting there in spirit.... What business have I in the woods, if I am thinking of something out of the woods?”
—Henry David Thoreau (1817–1862)
“Today one does not hear much about him.... The fame of his likes circulates briskly but soon grows heavy and stale; and as for history it will limit his life story to the dash between two dates.”
—Vladimir Nabokov (1899–1977)