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:
“Are not all finite beings better pleased with motions relative than absolute?”
—Henry David Thoreau (1817–1862)
“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)
“The second property of your excellent sherris is the warming
of the blood.”
—William Shakespeare (1564–1616)