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Conceivably, this could be made into an article on the special properties of precompact subsets of completely spaces; I expect that this is worthwhile only if we get a lot of links from articles where the context is a complete space (those may be hard to disambiguate). Incidentally, a precompact space would necessarily be a totally bounded space; relative compactness makes no sense for spaces in themselves. —Toby Bartels (talk) 16:14, 25 August 2008 (UTC)Reply
