Information AboutClubsuit |
| CATEGORIES ABOUT CLUBSUIT | |
| set theory | |
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DEFINITION For a given Cardinal Number ''κ'' and a Stationary Set ''S'' ⊆ ''κ'', ♣''S'' is the statement that there is a Sequence such that
is usually written as just ♣. ♣ AND ◊ It is clear that ◊ ⇒ ♣, and A. J. Ostaszewski showed in 1975 that ♣ + CH ⇒ ◊; however, Saharon Shelah gave proof in 1980 that there exists a model of ♣ in which CH does not hold, so ♣ and ◊ are not equivalent (since ◊ ⇒ CH). REFERENCES
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