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Aug 16, 2010 at 16:57 comment added Adam Gal Thanks alot! Of course I was asking about Qp to begin with...
Aug 16, 2010 at 16:56 vote accept Adam Gal
Aug 16, 2010 at 12:28 comment added Kevin Buzzard How about Q_p? That's complete with its usual norm, but you can embed it into C (using the iso Q_p-bar=C you use above) and, because the image contains Q and the square root of a negative integer, it will be dense in C but not all of C, so not complete with the usual metric induced from C.
Aug 16, 2010 at 11:26 history answered Robin Chapman CC BY-SA 2.5