In mathematics, and particularly in axiomatic set theory, ♣S (clubsuit) is a family of combinatorial principles that are a weaker version of the corresponding ◊S; it was introduced in 1975 by Adam Ostaszewski.[1]
^Ostaszewski, Adam J. (1975). "On countably compact perfectly normal spaces". Journal of the London Mathematical Society. 14: 505–516. doi:10.1112/jlms/s2-14.3.505.
In mathematics, and particularly in axiomatic set theory, ♣S (clubsuit) is a family of combinatorial principles that are a weaker version of the corresponding...
Women's club Youth club Club set, a subset of a limit ordinal in set theory Clubsuit, a family of combinatorial principles in set theory Club good, a type of...
♠ U+2660 HTML 4.0 HTML 5.0 HTMLsymbol ISOpub black spade suit ♣ ♣ ♣ U+2663 HTML 4.0 HTML 5.0 HTMLsymbol ISOpub black club suit (shamrock)...
continuum hypothesis and as a consequence The axiom of choice Diamondsuit Clubsuit Global square The existence of morasses The negation of the Suslin hypothesis...
} then F {\displaystyle {\mathcal {F}}\,} must include all club sets. Clubsuit – in set theory, the combinatorial principle that, for every stationary...
difference of two sets 2. A diagonal intersection ◊ The diamond principle ♣ A clubsuit principle □ The square principle ∘ The composition of functions ⁀ s⁀x is...
in each C i {\displaystyle C_{i}} with i < ξ . {\displaystyle i<\xi .} Clubsuit – in set theory, the combinatorial principle that, for every stationary...