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• Complete metric space
  In [[mathematics]], a '''complete metric space''' is a [[metric space]] in which every [[Cauchy sequence]] in that space i ...y metric space ''X'' has a '''completion''' <math>\bar X</math> which is a complete metric space in which ''X'' is [[isometry|isometrically]] embedded as a [[Denseness|dens
  3 KB (441 words) - 12:23, 4 January 2009
• Complete metric space/Bibliography
  699 bytes (87 words) - 12:20, 4 January 2009
• Complete metric space/Approval
  12 bytes (1 word) - 12:20, 4 January 2009
• Complete metric space/Definition
  123 bytes (18 words) - 12:20, 4 January 2009
• Complete metric space/Related Articles
  297 bytes (43 words) - 12:20, 4 January 2009

Page text matches

• Completion (mathematics)/Definition
  A complete metric space in which a given metric space is isometrically embedded as a dense subspace
  136 bytes (20 words) - 07:38, 4 January 2009
• Baire category theorem/Definition
  ...ry, equivalently, the intersection of any sequence of open dense sets in a complete metric space is dense.
  199 bytes (30 words) - 06:18, 4 September 2009
• Discrete metric
  * A discrete metric space is [[complete metric space|complete]]
  456 bytes (71 words) - 12:47, 4 January 2009
• Topologically complete space
  #REDIRECT [[Complete metric space#Topologically complete space]]
  64 bytes (7 words) - 12:42, 4 January 2009
• Complete metric space
  In [[mathematics]], a '''complete metric space''' is a [[metric space]] in which every [[Cauchy sequence]] in that space i ...y metric space ''X'' has a '''completion''' <math>\bar X</math> which is a complete metric space in which ''X'' is [[isometry|isometrically]] embedded as a [[Denseness|dens
  3 KB (441 words) - 12:23, 4 January 2009
• Completeness (mathematics)
  * [[Complete metric space]]
  120 bytes (13 words) - 12:25, 4 January 2009
• Metric space/Related Articles
  {{r|Complete metric space}}
  942 bytes (125 words) - 18:29, 11 January 2010
• Completeness (mathematics)/Bibliography
  #REDIRECT [[Complete metric space/Bibliography]]
  48 bytes (5 words) - 12:20, 4 January 2009
• Completeness (mathematics)/Related Articles
  #REDIRECT [[Complete metric space/Related Articles]]
  52 bytes (6 words) - 12:20, 4 January 2009
• Banach space/Related Articles
  {{r|Complete metric space}}
  423 bytes (60 words) - 15:14, 28 July 2009
• Banach's fixed-point theorem/Definition
  ...e>A theorem that states the existence and uniqueness of a fixed-point in a complete metric space.
  130 bytes (19 words) - 05:07, 16 January 2012
• Totally bounded set
  * A subset of a [[complete metric space]] is totally bounded if and only if its [[closure (topology)|closure]] is [
  975 bytes (166 words) - 15:27, 6 January 2009
• P-adic metric
  The ''p''-adic metric on '''Q''' is not [[complete metric space|complete]]: the [[p-adic number]]s are the corresponding [[completion]].
  1 KB (168 words) - 12:39, 4 January 2009
• G-delta set
  * A G_δ in a [[complete metric space]] is again a complete metric space.
  1 KB (223 words) - 13:16, 8 March 2009
• Real number/Related Articles
  *[[Complete metric space]]
  389 bytes (39 words) - 12:37, 4 January 2009
• Cantor set
  The Cantor set is a [[complete metric space]] with respect to ''d''.
  2 KB (306 words) - 16:51, 31 January 2011
• Cauchy sequence
  ...uchy sequences may be convergent or not. This leads to the notion of a ''[[complete metric space]]'' as one in which every Cauchy sequence converges to a point of the space
  1 KB (240 words) - 12:30, 4 January 2009
• Hilbert space
  ...the branch known as [[functional analysis]], a '''Hilbert space''' is a [[complete metric space|complete]] [[inner product space]]. As such, it is automatically also a [[B
  2 KB (258 words) - 12:33, 4 January 2009
• Nowhere dense set
  ...category'''. The ''[[Baire category theorem]]'' states that a non-empty [[complete metric space]] is of second category.
  850 bytes (118 words) - 22:30, 20 February 2010
• Baire category theorem
  ..., the '''Baire category theorem''' states that a non-[[empty set|empty]] [[complete metric space]] is a [[second category space]]: that is, it is not a [[countability|count
  501 bytes (67 words) - 23:00, 5 February 2009