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Sep 2, 2010 at 15:28 comment added Joel David Hamkins Another reason to care about stationary sets: in the case of $\omega_1$, the stationary sets are precisely the sets that could have a club subset in a forcing extension. That is, we can force to shoot a club through any given stationary set, by forcing that preserves $\omega_1$.
Sep 2, 2010 at 14:49 history edited Joel David Hamkins CC BY-SA 2.5
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Sep 2, 2010 at 14:43 history edited Joel David Hamkins CC BY-SA 2.5
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Sep 2, 2010 at 14:36 history answered Joel David Hamkins CC BY-SA 2.5