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May 29, 2015 at 0:35 comment added Sean Cox Very nice. So not even countable closure is preserved, much less directed closure.
May 29, 2015 at 0:34 vote accept Sean Cox
May 29, 2015 at 0:20 comment added Joel David Hamkins The partial order $\P$ is just the atoms and co-atoms in a power set.
May 29, 2015 at 0:09 history edited Joel David Hamkins CC BY-SA 3.0
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May 28, 2015 at 23:52 history answered Joel David Hamkins CC BY-SA 3.0