例句與造句

1. It also implies that every projective binary relation may be uniformized by a projective set.
2. It follows from the existence of sufficiently large cardinals that every projective set has the perfect set property.
3. In the Wadge hierarchy, they lie above the projective sets and below the sets in L ( R ).
4. It follows from projective determinacy, which in turn follows from sufficient large cardinals, that every projective set is universally measurable.
5. However, under the assumption of projective determinacy, all projective sets have both the perfect set property and the property of Baire.
6. It's difficult to find projective set in a sentence. 用projective set造句挺難的
7. PD implies that all projective sets are Lebesgue measurable ( in fact, universally measurable ) and have the perfect set property and the property of Baire.
8. It follows from the existence of sufficiently large cardinals that all games with winning set a projective set are determined ( see Projective determinacy ), and that AD holds in L ( R ).
9. The properties of the projective sets are not completely determined by ZFC . Under the assumption " V = L ", not all projective sets have the perfect set property or the property of Baire.
10. The properties of the projective sets are not completely determined by ZFC . Under the assumption " V = L ", not all projective sets have the perfect set property or the property of Baire.
11. The "'axiom of projective determinacy "', abbreviated "'PD "', states that for any two-player infinite game of perfect information of length ? in which the players play natural numbers, if the victory set ( for either player, since the projective sets are closed under complementation ) is projective, then one player or the other has a winning strategy.
12. Then " M " [ " G " ] is a model of ZFC with the property that every set of reals that is definable over a countable sequence of ordinals is Lebesgue measurable, and has the Baire and perfect set properties . ( This includes all definable and projective sets of reals; however for reasons related to Tarski's undefinability theorem the notion of a definable set of reals cannot be defined in the language of set theory, while the notion of a set of reals definable over a countable sequence of ordinals can be .)