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Feb 25, 2012 at 17:57 vote accept Julie
Feb 24, 2012 at 14:31 comment added Matthew Daws There is a counter-example in Rudin "Real and complex analysis", section 7.9 (page 143 in my edition). But this uses the continuum hypothesis, and the answers below seem to work in ZFC.
Feb 24, 2012 at 13:24 answer added Stefan Geschke timeline score: 14
Feb 24, 2012 at 10:19 history edited Julie CC BY-SA 3.0
added 351 characters in body
Feb 24, 2012 at 9:52 answer added Michael Greinecker timeline score: 7
Feb 24, 2012 at 9:16 history asked Julie CC BY-SA 3.0