Talk:Complete metric space

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Revision as of 11:20, 4 January 2009 by imported>Richard Pinch (Talk:Completeness (mathematics) moved to Talk:Complete metric space: Further disambiguate meaning within mathematics)
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 Definition:  Property of spaces in which every Cauchy sequence converges to an element of the space. [d] [e]
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Other uses of the term

Complete is used in at least two other ways in mathematics, and although complete metric space might be the most common, there is also complete lattice and complete ordered field. Would it make sense to move this article to, say Completeness (metric space) and make Completeness (mathematics) disambiguate between that at Completeness (ordered set) and Completeness (ordered field). Actually I would prefer all three of those to point to Complete ordered set, complete metric space and complete ordered field. Richard Pinch 19:06, 1 December 2008 (UTC)

I agree -- there are a great many other mathematical uses of complete than those you enumerated as well. Here's Wikipedia's list: [1]. I also prefer the term complete to completeness, and the style "complete metric space" to "complete (metric space)". I wonder if "completion" links should also be given on the "complete (mathematics)" disambiguation page, like "completion at a prime ideal"?Barry R. Smith 20:21, 1 December 2008 (UTC)
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