例句與造句

1. The finite intersection property is useful in formulating an alternative definition of uncountability of the real numbers ( see next section)
2. The first two properties imply that a "'filter on a set "'has the finite intersection property.
3. Then the system of sets is a family of closed sets with the finite intersection property, so by compactness it has a nonempty intersection.
4. Once we have this fact, Tychonoff's theorem can be applied; we then use the finite intersection property ( FIP ) definition of compactness.
5. Likewise, it is analogous to the finite intersection property characterization of compactness in topological spaces : a collection of closed sets in a compact space has a non-empty intersection if every finite subcollection has a non-empty intersection.
6. It's difficult to find finite intersection property in a sentence. 用finite intersection property造句挺難的
7. One can show that every filter of a Boolean algebra ( or more generally, any subset with the finite intersection property ) is contained in an ultrafilter ( see Ultrafilter lemma ) and that free ultrafilters therefore exist, but the proofs involve the axiom of choice ( AC ) in the form of Zorn's Lemma.