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• Metric space
  ...ric space consists of two components, a set and a metric in that set. In a metric space, the metric replaces the Euclidean distance as a notion of "distance" betwe Every [[simple graph|simple]] [[graph]] can be viewed as a metric space (in more than one way). Thus formally the theory of simple graphs can be co
  6 KB (1,068 words) - 07:30, 4 January 2009
• Metric space/Definition
  92 bytes (13 words) - 09:56, 4 September 2009
• Complete metric space
  ...in the limit to a point which is again an element of that space. Hence the metric space is, in a sense, "complete." Let ''X'' be a metric space with metric ''d''. Then ''X'' is complete if for every Cauchy sequence <mat
  3 KB (441 words) - 12:23, 4 January 2009
• Metric space/Approval
  12 bytes (1 word) - 19:27, 10 November 2007
• Complete metric space/Definition
  123 bytes (18 words) - 12:20, 4 January 2009
• Complete metric space/Bibliography
  699 bytes (87 words) - 12:20, 4 January 2009
• Metric space/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Metric space]]. Needs checking by a human. {{r|Complete metric space}}
  942 bytes (125 words) - 18:29, 11 January 2010
• Complete metric space/Approval
  12 bytes (1 word) - 12:20, 4 January 2009
• Complete metric space/Related Articles
  {{r|Metric space}}
  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
• Discrete metric
  * A discrete metric space is [[complete metric space|complete]]
  456 bytes (71 words) - 12:47, 4 January 2009
• Metric
  * In mathematics, a function defining a [[metric space]]
  163 bytes (20 words) - 12:51, 31 May 2009
• Metric space/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Metric space]]. Needs checking by a human. {{r|Complete metric space}}
  942 bytes (125 words) - 18:29, 11 January 2010
• Baire category theorem/Definition
  ...alently, 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
• Banach space/Related Articles
  {{r|Complete metric space}}
  423 bytes (60 words) - 15:14, 28 July 2009
• Space (mathematics)/Related Articles
  {{r|Metric space}}
  359 bytes (48 words) - 15:04, 28 July 2009
• Norm (mathematics)
  ...on ''X'' as <math>d(x,y)=\|x-y\|</math>. Hence a normed space is also a [[metric space]].
  880 bytes (157 words) - 22:28, 20 February 2010
• Complete metric space
  ...in the limit to a point which is again an element of that space. Hence the metric space is, in a sense, "complete." Let ''X'' be a metric space with metric ''d''. Then ''X'' is complete if for every Cauchy sequence <mat
  3 KB (441 words) - 12:23, 4 January 2009
• Isometry
  #REDIRECT [[Metric space#Mappings]]
  35 bytes (4 words) - 07:24, 4 January 2009
• Totally bounded set
  In [[mathematics]], a '''totally bounded set''' is any [[set|subset]] of a [[metric space]] with the property that for any positive radius ''r>0'' it is contained i ...sts a finite number ''n''(''r'') (that depends on the value of ''r'') of [[metric space#Metric topology|open balls]] of radius ''r'', <math>B_r(x_1),\ldots,B_r(x_{
  975 bytes (166 words) - 15:27, 6 January 2009
• Completeness (mathematics)/Bibliography
  #REDIRECT [[Complete metric space/Bibliography]]
  48 bytes (5 words) - 12:20, 4 January 2009
• Topologically complete space
  #REDIRECT [[Complete metric space#Topologically complete space]]
  64 bytes (7 words) - 12:42, 4 January 2009
• Completeness (mathematics)/Related Articles
  #REDIRECT [[Complete metric space/Related Articles]]
  52 bytes (6 words) - 12:20, 4 January 2009
• Indiscrete space
  * An indiscrete space is [[metric space|metrizable]] if and only if it has at most one point
  766 bytes (106 words) - 16:04, 4 January 2013
• 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
• Completeness (mathematics)
  * [[Complete metric space]]
  120 bytes (13 words) - 12:25, 4 January 2009
• P-adic metric
  ...[prime number]] ''p'', on the field '''Q''' of [[rational number]]s is a [[metric space|metric]] which is a [[valuation]] on the field. 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
• Cantor set
  The Cantor set is a [[complete metric space]] with respect to ''d''.
  2 KB (306 words) - 16:51, 31 January 2011
• Complete metric space/Related Articles
  {{r|Metric space}}
  297 bytes (43 words) - 12:20, 4 January 2009