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Mar 12, 2023 at 14:58 vote accept jkjfgk
Mar 12, 2023 at 13:07 history became hot network question
Mar 12, 2023 at 10:51 comment added bof According to this math.stackexchange Q&A there are two nonhomeomorphic countable subsets of $\mathbb R$ with continuous bijections in each direction. I wonder if the cones over those spaces have all the properties you want.
Mar 12, 2023 at 10:45 answer added YCor timeline score: 11
S Mar 12, 2023 at 5:00 review First questions
Mar 12, 2023 at 5:12
S Mar 12, 2023 at 5:00 history asked jkjfgk CC BY-SA 4.0