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Apr 27, 2010 at 2:27 history edited Robin Saunders CC BY-SA 2.5
important mistake in 3.
Apr 24, 2010 at 1:33 answer added Ady timeline score: 6
Apr 21, 2010 at 20:25 comment added Robin Saunders Thanks to everyone who's contributed, you've all been very helpful. I'm embarrassed to admit it didn't occur to me that 2 might not imply 3 - I'm still not used to thinking of infinite chains of inclusion. Thanks again!
Apr 21, 2010 at 20:16 vote accept Robin Saunders
Apr 21, 2010 at 10:32 comment added Gerald Edgar A metrizable topological space S is compact if and only if every metric on S that induces this topology is complete.
Apr 21, 2010 at 8:56 answer added Sergei Ivanov timeline score: 7
Apr 21, 2010 at 8:01 answer added Benoît Kloeckner timeline score: 5
Apr 21, 2010 at 5:38 comment added Qiaochu Yuan A metrizable space has a metrizable compactification if and only if it's second-countable (equivalently, separable). The direction you care about is clear, since any subspace of a compact metric space is second-countable.
Apr 21, 2010 at 5:07 history asked Robin Saunders CC BY-SA 2.5