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• Homeomorphism
  ...tinuous function|continuous]] with respect to the associated topologies. A homeomorphism indicates that the two topological spaces are "geometrically" alike, in the ...es. A function <math>\scriptstyle f:(X,O_X)\rightarrow (Y,O_Y)</math> is a homeomorphism between <math>\scriptstyle (X,O_X)</math> and <math>\scriptstyle (Y,O_Y)</m
  2 KB (265 words) - 07:44, 4 January 2009
• Homeomorphism/Approval
  12 bytes (1 word) - 18:24, 12 October 2007
• Homeomorphism/Definition
  224 bytes (34 words) - 12:50, 2 November 2008
• Homeomorphism/Bibliography
  804 bytes (100 words) - 12:53, 2 November 2008
• Homeomorphism/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Homeomorphism]]. Needs checking by a human.
  689 bytes (88 words) - 17:15, 11 January 2010

Page text matches

• Topological property
  #REDIRECT [[Homeomorphism#Topological property]]
  48 bytes (4 words) - 07:43, 4 January 2009
• Homeomorphism
  ...tinuous function|continuous]] with respect to the associated topologies. A homeomorphism indicates that the two topological spaces are "geometrically" alike, in the ...es. A function <math>\scriptstyle f:(X,O_X)\rightarrow (Y,O_Y)</math> is a homeomorphism between <math>\scriptstyle (X,O_X)</math> and <math>\scriptstyle (Y,O_Y)</m
  2 KB (265 words) - 07:44, 4 January 2009
• Continuity/Related Articles
  {{r|Homeomorphism}}
  489 bytes (64 words) - 13:20, 13 November 2008
• Compactification/Related Articles
  {{r|Homeomorphism}}
  455 bytes (57 words) - 15:35, 11 January 2010
• Open map/Related Articles
  {{r|Homeomorphism}}
  477 bytes (61 words) - 19:12, 11 January 2010
• Homeomorphism/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Homeomorphism]]. Needs checking by a human.
  689 bytes (88 words) - 17:15, 11 January 2010
• Cantor set
  The Cantor set may be considered a [[topological space]], [[homeomorphism|homeomorphic]] to a product of [[countable set|countably]] many copies of a which is a homeomorphism onto the subset of the unit interval obtained by iteratively deleting the m
  2 KB (306 words) - 16:51, 31 January 2011
• Inverse function/Related Articles
  {{r|Homeomorphism}}
  739 bytes (92 words) - 17:31, 11 January 2010
• Complete metric space
  ...topological property]]: it is possible for a complete metric space to be [[homeomorphism|homeomorphic]] to a metric space which is not complete. For example, the m is a homeomorphism between the complete metric space '''R''' and the incomplete space which is
  3 KB (441 words) - 12:23, 4 January 2009
• Topology
  Two main properties of objects studied in topology are [[homeomorphism]] and [[homotopy equivalence]].
  1 KB (206 words) - 14:09, 29 December 2008
• Open map
  A [[homeomorphism]] may be defined as a [[continuous map|continuous]] open [[bijection]].
  1 KB (179 words) - 17:30, 7 February 2009
• Compactification
  ...where ''Y'' is a compact topological space and ''f'':''X'' → ''Y'' is a [[homeomorphism]] from ''X'' to a [[dense set|dense subset]] of ''Y''.
  2 KB (350 words) - 00:48, 18 February 2009
• Connected space
  ...itary but not necessarily closed hereditary. Every topological space is [[homeomorphism|homeomorphic]] to a closed subspace of a hyperconnected space.<ref>{{cite j
  3 KB (379 words) - 13:22, 6 January 2013
• Relation (mathematics)
  ...milarity]] or between-ness; abstract concepts such as [[isomorphism]] or [[homeomorphism]]. A relation may involve one term (''unary'') in which case we may identi
  4 KB (684 words) - 11:25, 31 December 2008
• Compact space
  * Compactness is a [[topological invariant]]: that is, a topological space [[homeomorphism|homeomorphic]] to a compact space is again compact.
  4 KB (652 words) - 14:44, 30 December 2008
• Manifold (geometry)
  ...s an [[open set|open]] [[neighborhood (topology)|neighborhood]] which is [[homeomorphism|homeomorphic]] to <math>\scriptstyle \mathbb{R}^n </math> (i.e. there exist
  5 KB (805 words) - 17:01, 28 November 2008
• Space (mathematics)
  ...topological spaces (called "homeomorphism"), but the converse is wrong: a homeomorphism may distort distances. In terms of Bourbaki, "topological space" is an '''u ...clidean spaces. Low-dimensional manifolds are completely classified (up to homeomorphism).
  28 KB (4,311 words) - 08:36, 14 October 2010
• Uniform space
  ...o a uniform space <math>(Y,\mathcal V)</math>&nbsp; is called a '''uniform homeomorphism''' of these two spaces) if it is bijective, and the inverse function <math> ...<math>\ (X'',\mathcal U'')</math>.&nbsp; then there is exactly one uniform homeomorphism <math>\ h : X' \rightarrow X''</math>&nbsp; such that <math>\ c'' = h\circ
  45 KB (7,747 words) - 06:00, 17 October 2013
• Topological space
  Isomorphisms in the category of topological spaces (often referred to as a [[homeomorphism]]) are bijective and continuous with continuous inverses.
  15 KB (2,586 words) - 16:07, 4 January 2013
• Real number
  ...onnected, and separable [[total order|order topologies]] are necessarily [[homeomorphism|homeomorphic]] to the reals.
  19 KB (2,948 words) - 10:07, 28 February 2024