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Sep 17, 2020 at 17:47 answer added Ilya Bogdanov timeline score: 3
Sep 17, 2020 at 7:47 comment added Zhenchao Lyu Yes, there exists this kind of space (In a paper "Sober is not always co-sober"DOI:10.1016/j.topol.2018.10.003).
Sep 17, 2020 at 7:34 comment added Ilya Bogdanov Is there any infinite irreducible compacr $T_0$-space? It seems that the quesrion boils down to this.
Sep 17, 2020 at 7:20 comment added Zhenchao Lyu You are right about this.
Sep 16, 2020 at 18:52 comment added Benjamin Steinberg You need compact sets to not be closed under intersection for this to happen.
Sep 16, 2020 at 9:28 comment added Zhenchao Lyu For Hausdorffness, they are the same.
Sep 16, 2020 at 8:52 comment added Ilya Bogdanov So your space is not necessarily Hausdorff, right?
S Sep 16, 2020 at 8:37 history suggested mwt CC BY-SA 4.0
MathJax formatting
Sep 16, 2020 at 8:31 review Suggested edits
S Sep 16, 2020 at 8:37
Sep 16, 2020 at 8:23 history asked Zhenchao Lyu CC BY-SA 4.0