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:
“I am sure my bones would not rest in an English grave, or my clay mix with the earth of that country. I believe the thought would drive me mad on my death-bed could I suppose that any of my friends would be base enough to convey my carcass back to her soil. I would not even feed her worms if I could help it.”
—George Gordon Noel Byron (1788–1824)