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Apr 13, 2017 at 12:21 history edited CommunityBot
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Feb 26, 2016 at 14:14 comment added Josse van Dobben de Bruyn Oh yes, I didn't even think to check the rest of the proof (in an exit on first error kind of way). :-) Interestingly, I just discovered that the word closed has been removed in the book I own, which is the fourteenth reprint (2014) in its cheapo Indian edition. (At the time this was the only version I could still buy.) So the error was found before!
Feb 2, 2016 at 0:20 comment added Daniel Fischer So Rudin was definitely wrong with "it is easy to see …". Whether he was wrong with "$\Gamma(y)$ is closed" remains open. However, the proof works if one considers $H(y) = \overline{\Gamma(y)}$ instead of $\Gamma(y)$ itself, with practically no changes.
Feb 1, 2016 at 22:34 history bounty awarded CommunityBot
Feb 1, 2016 at 9:38 vote accept PPR
Feb 1, 2016 at 1:01 history answered Josse van Dobben de Bruyn CC BY-SA 3.0