| http://dbpedia.org/ontology/abstract
|
일반위상수학에서 절단점(切斷點, 영어: cut-point)은 연결 공간을 연결되지 않은 둘 이상의 부분들로 분리하는 점이다.
, In topology, a cut-point is a point of a c … In topology, a cut-point is a point of a connected space such that its removal causes the resulting space to be disconnected. If removal of a point doesn't result in disconnected spaces, this point is called a non-cut point. For example, every point of a line is a cut-point, while no point of a circle is a cut-point. Cut-points are useful to determine whether two connected spaces are homeomorphic by counting the number of cut-points in each space. If two spaces have different number of cut-points, they are not homeomorphic. A classic example is using cut-points to show that lines and circles are not homeomorphic. Cut-points are also useful in the characterization of topological continua, a class of spaces which combine the properties of compactness and connectedness and include many familiar spaces such as the unit interval, the circle, and the torus. unit interval, the circle, and the torus.
|
| http://dbpedia.org/ontology/thumbnail
|
http://commons.wikimedia.org/wiki/Special:FilePath/Cut-point.svg?width=300 +
|
| http://dbpedia.org/ontology/wikiPageExternalLink
|
https://www.ams.org/journals/proc/1999-127-09/S0002-9939-99-04839-X/S0002-9939-99-04839-X.pdf%7Cdoi=10.1090/s0002-9939-99-04839-x%7Cdoi-access=free +
|
| http://dbpedia.org/ontology/wikiPageID
|
12542581
|
| http://dbpedia.org/ontology/wikiPageLength
|
5006
|
| http://dbpedia.org/ontology/wikiPageRevisionID
|
1092011445
|
| http://dbpedia.org/ontology/wikiPageWikiLink
|
http://dbpedia.org/resource/Unit_interval +
, http://dbpedia.org/resource/Closed_set +
, http://dbpedia.org/resource/Connected_space +
, http://dbpedia.org/resource/Continuous_function +
, http://dbpedia.org/resource/Open_set +
, http://dbpedia.org/resource/Topological_space +
, http://dbpedia.org/resource/Homeomorphism +
, http://dbpedia.org/resource/Continuum_%28topology%29 +
, http://dbpedia.org/resource/File:Cut-point_line_and_circle.png +
, http://dbpedia.org/resource/The_Khalimsky_line +
, http://dbpedia.org/resource/T1_space +
, http://dbpedia.org/resource/Torus +
, http://dbpedia.org/resource/File:Cut-point.svg +
, http://dbpedia.org/resource/Open_interval +
, http://dbpedia.org/resource/Category:General_topology +
, http://dbpedia.org/resource/Hausdorff_space +
, http://dbpedia.org/resource/Compact_space +
, http://dbpedia.org/resource/Biconnected_component +
, http://dbpedia.org/resource/Closed_interval +
, http://dbpedia.org/resource/Topology +
, http://dbpedia.org/resource/Topological_invariant +
|
| http://dbpedia.org/property/wikiPageUsesTemplate
|
http://dbpedia.org/resource/Template:Cite_book +
, http://dbpedia.org/resource/Template:Citation +
|
| http://purl.org/dc/terms/subject
|
http://dbpedia.org/resource/Category:General_topology +
|
| http://www.w3.org/ns/prov#wasDerivedFrom
|
http://en.wikipedia.org/wiki/Cut_point?oldid=1092011445&ns=0 +
|
| http://xmlns.com/foaf/0.1/depiction
|
http://commons.wikimedia.org/wiki/Special:FilePath/Cut-point_line_and_circle.png +
, http://commons.wikimedia.org/wiki/Special:FilePath/Cut-point.svg +
|
| http://xmlns.com/foaf/0.1/isPrimaryTopicOf
|
http://en.wikipedia.org/wiki/Cut_point +
|
| owl:sameAs |
http://www.wikidata.org/entity/Q5196602 +
, http://ko.dbpedia.org/resource/%EC%A0%88%EB%8B%A8%EC%A0%90 +
, https://global.dbpedia.org/id/4j8LT +
, http://dbpedia.org/resource/Cut_point +
|
| rdfs:comment |
일반위상수학에서 절단점(切斷點, 영어: cut-point)은 연결 공간을 연결되지 않은 둘 이상의 부분들로 분리하는 점이다.
, In topology, a cut-point is a point of a c … In topology, a cut-point is a point of a connected space such that its removal causes the resulting space to be disconnected. If removal of a point doesn't result in disconnected spaces, this point is called a non-cut point. For example, every point of a line is a cut-point, while no point of a circle is a cut-point. Cut-points are also useful in the characterization of topological continua, a class of spaces which combine the properties of compactness and connectedness and include many familiar spaces such as the unit interval, the circle, and the torus. unit interval, the circle, and the torus.
|
| rdfs:label |
Cut point
, 절단점
|
