Talk:Relatively compact subspace

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The last sentence

"The definition of almost periodic function F is at a conceptual level to do with the translates of F being a relatively compact set. This needs to be made precise in terms of the topology used, in a particular theory."

could be rewritten in much better English, and in particular, the "is at a conceptual level to do" should definitely be changed.

Also, in a metric space, an alternative definition of relative compactness is that every sequence has a cauchy subsequence, no? It might be nice to mention that on the main page (unless it's not an equivalent definition, but I think it is). Lavaka 22:37, 13 November 2006 (UTC)