### Similar but not the same: various versions of $\clubsuit$ do not coincide

by Dzamonja and Shelah. [DjSh:574]

J Symbolic Logic, 1999

We consider various versions of the clubsuit principle. This
principle is a known consequence of diamondsuit . It is well
known
that diamondsuit is not sensitive to minor changes in its
definition, e.g. changing the guessing requirement form ``guessing
exactly'' to ``guessing modulo a finite set''. We show however,
that this is not true for clubsuit . We consider some other
variants of clubsuit as well.

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