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Mar 20, 2010 at 20:00 comment added Andrej Bauer Hmm, good point. I would like to hear where these spaces come from.
Mar 20, 2010 at 11:08 comment added Joel David Hamkins Consider the integers Z, with open sets (-infty,n). This is a topology and is an atomless lattice, but it doesn't have the desired property.
Mar 20, 2010 at 7:22 history answered Andrej Bauer CC BY-SA 2.5