Complex sentence: 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.
Split into simpler sentences: In general topology, a branch of mathematics, the finite intersection property is a property of a collection of subsets of a set "X". A collection has this property if the intersection over any finite subcollection of the collection is nonempty.