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:
“God is a being of transcendent and unlimited perfections: his nature therefore is incomprehensible to finite spirits.”
—George Berkeley (1685–1753)
“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)
“It is as if being was to be observed,
As if, among the possible purposes
Of what one sees, the purpose that comes first,
The surface, is the purpose to be seen,
The property of the moon, what it evokes.”
—Wallace Stevens (1879–1955)