Base (topology)
In mathematics, a base (or basis) B for a topological space X with topology T is a collection of open sets in T such that every open set in T can be written as a union of elements of B. We say that the base generates the topology T. Bases are useful because many properties of topologies can be reduced to statements about a base generating that topology, and because many topologies are most easily defined in terms of a base which generates them.
Read more about Base (topology): Simple Properties of Bases, Objects Defined in Terms of Bases, Theorems, Base For The Closed Sets, Weight and Character
Famous quotes containing the word base:
“Thou treacherous, base deserter of my flame,
False to my passion, fatal to my fame,
Through what mistaken magic dost thou prove
So true to lewdness, so untrue to love?”
—John Wilmot, Earl Of Rochester (1647–1680)