In general topology, a branch of mathematics, a collection A of subsets of a set X is said to have the finite intersection property if the intersection over any finite subcollection of A is nonempty.
A centered system of sets is a collection of sets with the finite intersection property.
Read more about Finite Intersection Property: Definition, Discussion, Applications, Examples, Theorems, Variants
Famous quotes containing the words finite, intersection and/or property:
“All finite things reveal infinitude:”
—Theodore Roethke (1908–1963)
“If we are a metaphor of the universe, the human couple is the metaphor par excellence, the point of intersection of all forces and the seed of all forms. The couple is time recaptured, the return to the time before time.”
—Octavio Paz (b. 1914)
“In the Greek cities, it was reckoned profane, that any person should pretend a property in a work of art, which belonged to all who could behold it.”
—Ralph Waldo Emerson (1803–1882)