Finite Intersection Property

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)

    You can always tell a Midwestern couple in Europe because they will be standing in the middle of a busy intersection looking at a wind-blown map and arguing over which way is west. European cities, with their wandering streets and undisciplined alleys, drive Midwesterners practically insane.
    Bill Bryson (b. 1951)

    It is a well-settled principle of the international code that where one nation owes another a liquidated debt which it refuses or neglects to pay the aggrieved party may seize on the property belonging to the other, its citizens or subjects, sufficient to pay the debt without giving just cause of war.
    Andrew Jackson (1767–1845)