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Oct 2, 2017 at 16:56 vote accept Dominic van der Zypen
Oct 2, 2017 at 16:44 comment added Richard Stanley @DominicvanderZypen: oops, you are right. I have deleted this statement.
Oct 2, 2017 at 16:43 history edited Richard Stanley CC BY-SA 3.0
deleted incorrect addendum
Oct 1, 2017 at 6:19 comment added Dominic van der Zypen @richardstanley, the requirement about the intervals is equivalent to saying the interval topology is $T_2$, and $[0,1]\times[0,1]$ has $T_2$ interval topology, so I am not sure about your example
Sep 29, 2017 at 21:21 history edited Richard Stanley CC BY-SA 3.0
addendum added
Sep 29, 2017 at 20:09 comment added Ilya Bogdanov That said, clearly +1 for a nice example (which is even more than OP asked for) --- which may seem incorrect at the first glance!
Sep 29, 2017 at 20:03 comment added Ilya Bogdanov $\mathbb Z$ is not a complete lattice. As far as I understand from OP's comment, the author means a complete lattice which is (finitely) distributive...
Sep 29, 2017 at 19:26 history answered Richard Stanley CC BY-SA 3.0