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Mar 16, 2022 at 19:01 comment added IJM98 Sorry, didn't saw it the first time, what do you mean by "b-c" in the proof of the first implication?
Jun 12, 2021 at 13:57 comment added Joel David Hamkins I believe it is called the Alexandrov topology.
Jun 12, 2021 at 10:04 comment added IJM98 Is this related with the Stone spaces? To me it seems like a weaker topology than the one endowed to Stone spaces, but probably I'm wrong.
Jun 12, 2021 at 9:45 comment added Joel David Hamkins It is the topology (often on the nonzero elements $B-\{0\}$) whose basic open sets are the down sets $U_b=\{a\in B\mid a\leq b\}$.
Jun 12, 2021 at 9:31 comment added IJM98 Could you please explain a bit what is the lower-cone topology?
Jun 11, 2021 at 20:53 history edited Joel David Hamkins CC BY-SA 4.0
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Jun 11, 2021 at 20:41 history edited Joel David Hamkins CC BY-SA 4.0
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Jun 11, 2021 at 20:34 history answered Joel David Hamkins CC BY-SA 4.0