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Feb 11, 2012 at 0:16 comment added Joel David Hamkins It's a surprisingly difficult question!
Feb 10, 2012 at 21:20 comment added Monroe Eskew Thanks, Joel. Maybe some idea here can help in the atomless case.
Feb 10, 2012 at 4:46 comment added Joel David Hamkins I have now posted a counterexample to the implication among atomic Boolean algebras. Perhaps it could be used to construct an atomless counterexample, but I don't see it yet.
Feb 10, 2012 at 4:43 history edited Joel David Hamkins CC BY-SA 3.0
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Feb 10, 2012 at 4:34 history edited Joel David Hamkins CC BY-SA 3.0
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Feb 9, 2012 at 23:57 comment added Joel David Hamkins Oh, sorry, I misread the question.
Feb 9, 2012 at 23:36 comment added Monroe Eskew But I said $B$ was dense in $C$, not just quasi-dense. This was not a typo. Also, I am only really interested in the case of atomless algebras. I will put that in the original question.
Feb 9, 2012 at 23:33 comment added Goldstern The question was about "$B$ dense in $C$", not just quasi-dense.
Feb 9, 2012 at 23:21 history answered Joel David Hamkins CC BY-SA 3.0