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  • * An indiscrete space is [[compact space|compact]].
    766 bytes (106 words) - 16:04, 4 January 2013
  • In [[mathematics]], the '''Heine-Borel theorem''' characterises the [[compact space|compact]] [[subset]]s of the [[real number]]s. ...We may reduce to the case of a closed interval, since a closed subset of a compact space is compact.
    2 KB (381 words) - 08:54, 29 December 2008
  • * A discrete space is [[compact space|compact]] if and only if it is [[finite set|finite]].
    872 bytes (125 words) - 15:57, 4 January 2013
  • A compact space in which a given topological space can be embedded as a dense subset.
    121 bytes (19 words) - 17:30, 5 January 2009
  • #REDIRECT [[Compact space]]
    27 bytes (3 words) - 14:37, 31 October 2008
  • #REDIRECT [[Compact space]]
    27 bytes (3 words) - 10:56, 25 May 2010
  • #REDIRECT [[Compact space]]
    27 bytes (3 words) - 10:57, 25 May 2010
  • #REDIRECT [[Compact space]]
    27 bytes (3 words) - 13:14, 25 May 2010
  • #REDIRECT [[Compact space/Definition]]
    38 bytes (4 words) - 14:37, 31 October 2008
  • #REDIRECT [[Compact space/Related Articles]]
    44 bytes (5 words) - 14:37, 31 October 2008
  • #REDIRECT [[Compact space#Finite intersection property]]
    56 bytes (6 words) - 14:25, 30 December 2008
  • In [[mathematics]], a '''compact space''' is a [[topological space]] for which every covering of that space by a c ==Formal definition of compact space==
    4 KB (652 words) - 14:44, 30 December 2008
  • An [[infinite set|infinite]] [[Cartesian product]] of non-empty non-[[compact space]]s has the property that every compact subset is nowhere dense.
    850 bytes (118 words) - 22:30, 20 February 2010
  • * [[Compact space|compact]];
    1,007 bytes (137 words) - 22:52, 17 February 2009
  • * Any [[compact space|compact]] metric space is [[sequentially compact space|sequentially compact]] and hence complete. The converse does not hold: for
    3 KB (441 words) - 12:23, 4 January 2009
  • ...d of a topological space ''X'' is a function ''e'' which assigns to each [[compact space|compact]] set ''K'' in ''X'' some [[connected component]] with non-compact
    1 KB (250 words) - 01:07, 19 February 2009
  • {{r|Sequentially compact space}}
    531 bytes (72 words) - 14:37, 31 October 2008
  • {{r|Compact space}}
    565 bytes (76 words) - 19:05, 11 January 2010
  • ...is totally bounded if and only if its [[closure (topology)|closure]] is [[compact space|compact]].
    975 bytes (166 words) - 15:27, 6 January 2009
  • {{r|Compact space}}
    942 bytes (125 words) - 18:29, 11 January 2010
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