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Mar 17, 2013 at 22:49 vote accept Did
Mar 17, 2013 at 22:43 comment added Gerald Edgar And the punch-line: this shows it is not compact, because there is an infinite set with all distances $1/2$.
Mar 17, 2013 at 13:42 history edited R W CC BY-SA 3.0
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Mar 17, 2013 at 13:36 history answered R W CC BY-SA 3.0