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Jul 24, 2022 at 5:33 history edited Taras Banakh CC BY-SA 4.0
added 10 characters in body
Jul 24, 2022 at 5:32 comment added Taras Banakh @JamesHanson Yes. I am asking about an example of a metrizable separable (desirably Polish) hereditarily disconnected space which is not the union of countably many totally disconnected subspaces. I have made this clarification in the question.
Jul 24, 2022 at 3:01 comment added James E Hanson For Problem 1 are you asking both versions of the question (i.e., for a Polish example or a not necessarily Polish example)?
Jul 23, 2022 at 16:19 history asked Taras Banakh CC BY-SA 4.0