Definition of "Intersection" :
noun: the act of intersecting (as joining by causing your path to intersect your target's path)
noun: a junction where one street or road crosses another
noun: a representation of common ground between theories or phenomena
noun: a point where lines intersect
noun: the set of elements common to two or more sets
"The set of red hats is the intersection of the set of hats and the set of red things."
noun: a point or set of points common to two or more geometric configurations