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• Cartesian product
  In [[mathematics]], the '''Cartesian product''' of two sets ''X'' and ''Y'' is the set of [[ordered pair]]s from ''X'' a The Cartesian product has a [[universal property]]: if there is a set ''Z'' with maps <math>f:Z \
  3 KB (440 words) - 12:26, 30 December 2008
• Cartesian product/Definition
  101 bytes (15 words) - 02:33, 3 November 2008
• Cartesian product/Bibliography
  649 bytes (78 words) - 17:30, 3 November 2008
• Cartesian product/Related Articles
  927 bytes (149 words) - 02:35, 3 November 2008

Page text matches

• Cartesian power
  #REDIRECT [[Cartesian product#Cartesian power]]
  47 bytes (5 words) - 12:58, 12 December 2008
• Tychonov theorem/Definition
  The Cartesian product of compact topological spaces is compact.
  99 bytes (12 words) - 05:27, 29 December 2008
• Operation (mathematics)/Definition
  A function which maps some finite Cartesian product of a set to itself.
  107 bytes (16 words) - 15:18, 20 May 2008
• Cartesian product
  In [[mathematics]], the '''Cartesian product''' of two sets ''X'' and ''Y'' is the set of [[ordered pair]]s from ''X'' a The Cartesian product has a [[universal property]]: if there is a set ''Z'' with maps <math>f:Z \
  3 KB (440 words) - 12:26, 30 December 2008
• Product topology
  ...ology]], the '''product topology''' is an assignment of open sets to the [[Cartesian product]] of a family of [[topological space]]s. By iteration, the product topology on a finite Cartesian product ''X''₁×...×''X''_''n'' is the topology with sub-basi
  2 KB (345 words) - 16:47, 6 February 2010
• Ordered pair/Related Articles
  {{r|Cartesian product}}
  592 bytes (77 words) - 19:15, 11 January 2010
• Axiom of choice
  A closely related formulation of the axiom is that the [[Cartesian product]] of any family of non-empty sets is again non-empty.
  2 KB (266 words) - 13:28, 5 January 2013
• Nowhere dense set
  An [[infinite set|infinite]] [[Cartesian product]] of non-empty non-[[compact space]]s has the property that every compact s
  850 bytes (118 words) - 22:30, 20 February 2010
• Binary operation
  ...binary operation <math>\star</math> on a set ''S'' is a function on the [[Cartesian product]]
  1 KB (202 words) - 12:53, 12 December 2008
• Oxford University Press/Related Articles
  {{r|Cartesian product}}
  1 KB (187 words) - 19:18, 11 January 2010
• Compact space
  * The [[Cartesian product]] of two (and hence finitely many) compact spaces with the [[product topolo
  4 KB (652 words) - 14:44, 30 December 2008
• Ordered pair
  ...rdered pairs (''x'',''y'') with ''x'' in ''X'' and ''y'' in ''Y'' is the [[Cartesian product]] of ''X'' and ''Y''. A [[complex number]] may be expressed as an ordered
  1 KB (213 words) - 07:01, 21 January 2009
• Relation (mathematics)
  ...''binary relation''' between sets ''X'' and ''Y'' as a [[subset]] of the [[Cartesian product]], <math>R \subseteq X \times Y</math>. We write <math>x~R~y</math> to ind
  4 KB (684 words) - 11:25, 31 December 2008
• Scalar
  ..., but is clearly associated with it. (Formally it is a bilinear map of the Cartesian product ℝ³&times;ℝ³ into ℝ). The inner product satisfie
  9 KB (1,373 words) - 06:21, 11 December 2009
• Ring (mathematics)
  ...uct (ring theory)|direct product]]'' of two rings ''R'' and ''S'' is the [[cartesian product]] ''R''&times;''S'' together with the operations
  10 KB (1,667 words) - 13:47, 5 June 2011
• Category theory
  ...ample, arithmetic has the product of a pair of numbers, set theory has the Cartesian product of a pair of sets and logic has the conjunction of a pair of assertions. T
  7 KB (1,151 words) - 14:44, 26 December 2013
• Countable set/Citable Version
  : The [[Cartesian product]] of finitely many countable sets is countable. that the Cartesian product of two countable sets is countable.
  10 KB (1,462 words) - 17:24, 25 August 2013
• Countable set
  : The [[Cartesian product]] of finitely many countable sets is countable. that the Cartesian product of two countable sets is countable.
  10 KB (1,462 words) - 17:25, 25 August 2013
• Group action
  Formally, a group action is a map from the [[Cartesian product]] <math>G \times X \rightarrow X</math>,
  4 KB (727 words) - 12:37, 16 November 2008
• Set (mathematics)
  The '''Cartesian product''' or '''direct product''' of two sets ''A'' and ''B'' is the set defined b
  17 KB (2,828 words) - 10:37, 24 July 2011