Search results

Page title matches

• Topology
  ...escribe how a space is assembled, such as connectedness and orientability. Topology may be viewed as the search for solutions of problems relating to the geome ...pts of homotopy and homology, which are now considered part of [[algebraic topology]].
  1 KB (206 words) - 14:09, 29 December 2008
• Neighborhood (topology)
  #REDIRECT [[Neighbourhood (topology)]]
  38 bytes (3 words) - 04:58, 27 May 2009
• End (topology)
  In [[general topology]], an '''end''' of a [[topological space]] generalises the notion of "point
  1 KB (250 words) - 01:07, 19 February 2009
• Interior (topology)
  ...ed as the set of all points in ''A'' for which ''A'' is a [[neighbourhood (topology)|neighbourhood]]. * The complement of the [[closure (topology)|closure]] of a set in ''X'' is the interior of the complement of that set;
  1 KB (172 words) - 15:44, 7 February 2009
• Topology correction
  ...to procedures that correct inconsistencies in the [[topology (mathematics)|topology]] of a surface [[mesh]] that has been obtained from noisy imaging data.
  228 bytes (29 words) - 05:45, 8 September 2009
• Product topology
  In [[general topology]], the '''product topology''' is an assignment of open sets to the [[Cartesian product]] of a family o ...(that is, ''H'' is an element of ''U''). So a set is open in the product topology if is a union of products of open sets.
  2 KB (345 words) - 16:47, 6 February 2010
• Net (topology)
  ...quence]]. Convergence of a net may be used to completely characterise the topology. ...cite book | author=J.L. Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 | pages=62-83 }}
  1,002 bytes (167 words) - 17:12, 7 February 2009
• Subspace topology
  ...opology]], the '''subspace topology''', or '''induced''' or '''relative''' topology, is the assignment of open sets to a [[subset]] of a [[topological space]]. ...family of [[open set]]s, and let ''A'' be a subset of ''X''. The subspace topology on ''A'' is the family
  814 bytes (118 words) - 13:51, 7 February 2009
• Grothendieck topology
  The notion of a '''Grothendieck topology''' or '''site'''' captures the essential properties necessary for construct A ''Grothendieck topology'' <math>T</math> consists of
  2 KB (356 words) - 04:37, 26 December 2007
• Cofinite topology
  In [[mathematics]], the '''cofinite topology''' is the [[topology]] on a [[set (mathematics)|set]] in the the [[open set]]s are those which h .... We therefore assume that ''X'' is an [[infinite set]] with the cofinite topology; it is:
  1,007 bytes (137 words) - 22:52, 17 February 2009
• Quotient topology
  In [[general topology]], the '''quotient topology''', or '''identification topology''' is defined on the [[image]] of a [[topological space]] under a [[functi ...''q'' a [[surjective function]] from ''X'' onto a set ''Y''. The quotient topology on ''Y'' has as open sets those subsets <math>U</math> of <math>Y</math> su
  1 KB (167 words) - 17:20, 6 February 2009
• Grothendieck Topology
  #REDIRECT [[Grothendieck topology]]
  35 bytes (3 words) - 12:52, 4 December 2007
• Cocountable topology
  In [[mathematics]], the '''cocountable topology''' is the [[topology]] on a [[set (mathematics)|set]] in which the [[open set]]s are those which ...therefore assume that ''X'' is an [[uncountable set]] with the cocountable topology; it is:
  1,004 bytes (134 words) - 22:48, 17 February 2009
• Separability (topology)
  In [[topology]], '''separability''' may refer to:
  109 bytes (13 words) - 12:54, 31 May 2009
• Spherical topology
  81 bytes (10 words) - 08:16, 18 February 2010
• Topology (mathematics)
  81 bytes (10 words) - 05:05, 22 February 2010
• Discrete topology
  28 bytes (3 words) - 07:49, 28 December 2008
• Topology/Definition
  196 bytes (25 words) - 08:48, 13 January 2009
• Genus (topology)
  81 bytes (10 words) - 05:05, 22 February 2010
• Indiscrete topology
  30 bytes (3 words) - 16:02, 4 January 2013

Page text matches

• Topology correction
  ...to procedures that correct inconsistencies in the [[topology (mathematics)|topology]] of a surface [[mesh]] that has been obtained from noisy imaging data.
  228 bytes (29 words) - 05:45, 8 September 2009
• Neighbourhood (topology)/Bibliography
  ...ic notion of topology, are treated in any textbook on general or point set topology. See [[Topology/Bibliography]] for recommandations.
  738 bytes (95 words) - 04:56, 2 June 2009
• Baire category theorem
  ...e set]]s (sets whose [[closure (topology)|closure]] have empty [[interior (topology)|interior]]). ...cite book | author=J.L. Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 | pages=200-201 }}
  501 bytes (67 words) - 23:00, 5 February 2009
• Subspace topology
  ...opology]], the '''subspace topology''', or '''induced''' or '''relative''' topology, is the assignment of open sets to a [[subset]] of a [[topological space]]. ...family of [[open set]]s, and let ''A'' be a subset of ''X''. The subspace topology on ''A'' is the family
  814 bytes (118 words) - 13:51, 7 February 2009
• Spherical topology/Definition
  ...n applications to describe [[surface (topology)|surfaces]] that have the [[topology of the sphere]], i.e., roughly spoken, they are closed, have two sides, no
  231 bytes (35 words) - 12:51, 8 February 2010
• Topology correction/Definition
  ...er graphics]] that correct inconsistencies in the [[topology (mathematics)|topology]] of a surface [[mesh]] that has been obtained from noisy imaging data.
  222 bytes (30 words) - 05:47, 8 September 2009
• Quotient topology
  In [[general topology]], the '''quotient topology''', or '''identification topology''' is defined on the [[image]] of a [[topological space]] under a [[functi ...''q'' a [[surjective function]] from ''X'' onto a set ''Y''. The quotient topology on ''Y'' has as open sets those subsets <math>U</math> of <math>Y</math> su
  1 KB (167 words) - 17:20, 6 February 2009
• Cocountable topology
  In [[mathematics]], the '''cocountable topology''' is the [[topology]] on a [[set (mathematics)|set]] in which the [[open set]]s are those which ...therefore assume that ''X'' is an [[uncountable set]] with the cocountable topology; it is:
  1,004 bytes (134 words) - 22:48, 17 February 2009
• Separation axioms/Bibliography
  * {{citation | last1=Franz | first1=Wolfgang | title=General Topology | publisher=Harrap | year=1967 }} ...on | last1=Hocking | first1=John G. | last2=Young | first2=Gail S. | title=Topology | publisher=Dover Publications | year=1988 | isbn=0-486-65676-4 }}
  804 bytes (100 words) - 07:17, 2 November 2008
• Homeomorphism/Bibliography
  * {{citation | last1=Franz | first1=Wolfgang | title=General Topology | publisher=Harrap | year=1967 }} ...on | last1=Hocking | first1=John G. | last2=Young | first2=Gail S. | title=Topology | publisher=Dover Publications | year=1988 | isbn=0-486-65676-4 }}
  804 bytes (100 words) - 12:53, 2 November 2008
• Topological space/Bibliography
  * {{citation | last1=Franz | first1=Wolfgang | title=General Topology | publisher=Harrap | year=1967 }} ...on | last1=Hocking | first1=John G. | last2=Young | first2=Gail S. | title=Topology | publisher=Dover Publications | year=1988 | isbn=0-486-65676-4 }}
  804 bytes (100 words) - 02:27, 1 November 2008
• Cofinite topology
  In [[mathematics]], the '''cofinite topology''' is the [[topology]] on a [[set (mathematics)|set]] in the the [[open set]]s are those which h .... We therefore assume that ''X'' is an [[infinite set]] with the cofinite topology; it is:
  1,007 bytes (137 words) - 22:52, 17 February 2009
• Topology
  ...escribe how a space is assembled, such as connectedness and orientability. Topology may be viewed as the search for solutions of problems relating to the geome ...pts of homotopy and homology, which are now considered part of [[algebraic topology]].
  1 KB (206 words) - 14:09, 29 December 2008
• Complete metric space/Bibliography
  * {{citation | last1=Franz | first1=Wolfgang | title=General Topology | publisher=Harrap | year=1967 }} ...on | last1=Hocking | first1=John G. | last2=Young | first2=Gail S. | title=Topology | publisher=Dover Publications | year=1988 | isbn=0-486-65676-4 }}
  699 bytes (87 words) - 12:20, 4 January 2009
• Denseness/Bibliography
  * {{cite book | author=Wolfgang Franz | title=General Topology | publisher=Harrap | year=1967 | pages=43 }} ...cite book | author=J.L. Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 | pages=49 }}
  512 bytes (62 words) - 02:28, 29 December 2008
• Nowhere dense set
  ...space is a set whose [[closure (topology)|closure]] has empty [[interior (topology)|interior]]. ...cite book | author=J.L. Kelley | authorlink=John L. Kelley | title=General topology | publisher=van Nostrand | year= 1955 | pages=145,201 }}
  850 bytes (118 words) - 22:30, 20 February 2010
• Separation axioms/Related Articles
  {{r|Cocountable topology}} {{r|Cofinite topology}}
  541 bytes (68 words) - 20:17, 11 January 2010
• Topology/Bibliography
  * {{cite book | author=John G. Hocking | coauthors=Gail S. Young | title=Topology | publisher=Dover Publications | year=1988 | isbn=0-486-65676-4 }} ...intelligent general reader; chapter 8, "Rubber-Sheet Geometry," deals with topology.
  407 bytes (53 words) - 18:13, 13 March 2009
• Discrete space
  ...]], a '''discrete space''' is a [[topological space]] with the '''discrete topology''', in which every [[subset]] is open. * A discrete space is metrizable, with the topology induced by the [[discrete metric]].
  872 bytes (125 words) - 15:57, 4 January 2013
• Countability axioms in topology
  '''Countability axioms in topology''' are properties that a [[topological space]] may satisfy which refer to t ...''' is one for which there is a countable [[base (topology)|base]] for the topology.
  677 bytes (96 words) - 01:19, 18 February 2009