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Dec 1, 2013 at 19:59 vote accept Hugo Rafael Oliveira Ribeiro
Dec 1, 2013 at 16:33 comment added Pietro Majer So a concrete example is $$X:=\big( (0,1)\times(0,1)\big)\cup \big( \{0\}\times([0,1]\cap\mathbb{Q})\big),$$ that is not a $G_{\delta}$ because its trace on $\{0\}\times [0,1] $ is not.
Dec 1, 2013 at 15:53 history answered François G. Dorais CC BY-SA 3.0