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Nov 12 at 12:30 comment added user95282 That also shows that $P_s$ and $P_{ac}$ are not homeomorphic: The property of being a dense $G_\delta$ subset (i.e. Cech completeness) is preserved by homeomorphisms.
Nov 12 at 4:04 vote accept an_ordinary_mathematician
Nov 11 at 23:29 history answered Christian Remling CC BY-SA 4.0