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Jun 3, 2022 at 10:11 comment added Max Demirdilek I don't have enough reputation to edit, but it should read: "if $D\subseteq X$ is directed and $\sup D\in S$, then there exist $d\in D\cap S$."
Feb 10, 2019 at 16:16 vote accept geodude
Feb 10, 2019 at 9:06 answer added Robert Furber timeline score: 2
Feb 8, 2019 at 20:23 comment added geodude @Wojowu Thanks, that was embarrassing.
Feb 8, 2019 at 20:22 history edited geodude CC BY-SA 4.0
deleted 17 characters in body
Feb 8, 2019 at 20:17 comment added Wojowu I suppose the "(as closed sets)" remark was copied from the previous question; here it should be removed, as you define the open sets :)
Feb 8, 2019 at 20:11 history asked geodude CC BY-SA 4.0