| http://dbpedia.org/ontology/abstract
|
일반위상수학에서 극한점 콤팩트 공간(Limit point compact space, 極限點 compact 空間) 또는 집적점 콤팩트 공간(集積點 compact 空間) 또는 약가산 콤팩트 공간(weakly countably compact space, 弱可算 compact 空間)은 콤팩트 공간의 개념의 변형 가운데 하나이다.
, In mathematics, a topological space X is s … In mathematics, a topological space X is said to be limit point compact or weakly countably compact if every infinite subset of X has a limit point in X. This property generalizes a property of compact spaces. In a metric space, limit point compactness, compactness, and sequential compactness are all equivalent. For general topological spaces, however, these three notions of compactness are not equivalent.notions of compactness are not equivalent.
, Топологічний простір X називається слабко зліченно компактним, якщо кожна нескінченна підмножина X має граничну точку в X.
|
| http://dbpedia.org/ontology/wikiPageID
|
9861462
|
| http://dbpedia.org/ontology/wikiPageLength
|
5897
|
| http://dbpedia.org/ontology/wikiPageRevisionID
|
1034618374
|
| http://dbpedia.org/ontology/wikiPageWikiLink
|
http://dbpedia.org/resource/Metric_space +
, http://dbpedia.org/resource/Sequential_compactness +
, http://dbpedia.org/resource/Discrete_topology +
, http://dbpedia.org/resource/Order_topology +
, http://dbpedia.org/resource/Category:Properties_of_topological_spaces +
, http://dbpedia.org/resource/Indiscrete_topology +
, http://dbpedia.org/resource/Counterexamples_in_Topology +
, http://dbpedia.org/resource/Limit_point +
, http://dbpedia.org/resource/Cardinal_function +
, http://dbpedia.org/resource/Odd-even_topology +
, http://dbpedia.org/resource/Prentice_Hall +
, http://dbpedia.org/resource/Compact_space +
, http://dbpedia.org/resource/Sequentially_compact_space +
, http://dbpedia.org/resource/Tietze_extension_theorem +
, http://dbpedia.org/resource/Compact_spaces +
, http://dbpedia.org/resource/Countable_complement_topology +
, http://dbpedia.org/resource/Countably_compact_space +
, http://dbpedia.org/resource/T0_space +
, http://dbpedia.org/resource/Topological_space +
, http://dbpedia.org/resource/T1_space +
, http://dbpedia.org/resource/Cocountable_topology +
, http://dbpedia.org/resource/Pseudocompact +
, http://dbpedia.org/resource/Category:Compactness_%28mathematics%29 +
|
| http://dbpedia.org/property/id
|
1234
|
| http://dbpedia.org/property/title
|
Weakly countably compact
|
| http://dbpedia.org/property/wikiPageUsesTemplate
|
http://dbpedia.org/resource/Template:Cite_book +
, http://dbpedia.org/resource/Template:PlanetMath_attribution +
, http://dbpedia.org/resource/Template:ISBN +
, http://dbpedia.org/resource/Template:Reflist +
|
| http://purl.org/dc/terms/subject
|
http://dbpedia.org/resource/Category:Properties_of_topological_spaces +
, http://dbpedia.org/resource/Category:Compactness_%28mathematics%29 +
|
| http://www.w3.org/ns/prov#wasDerivedFrom
|
http://en.wikipedia.org/wiki/Limit_point_compact?oldid=1034618374&ns=0 +
|
| http://xmlns.com/foaf/0.1/isPrimaryTopicOf
|
http://en.wikipedia.org/wiki/Limit_point_compact +
|
| owl:sameAs |
http://ko.dbpedia.org/resource/%EA%B7%B9%ED%95%9C%EC%A0%90_%EC%BD%A4%ED%8C%A9%ED%8A%B8_%EA%B3%B5%EA%B0%84 +
, http://www.wikidata.org/entity/Q6549451 +
, http://uk.dbpedia.org/resource/%D0%A1%D0%BB%D0%B0%D0%B1%D0%BA%D0%BE_%D0%B7%D0%BB%D1%96%D1%87%D0%B5%D0%BD%D0%BD%D0%BE_%D0%BA%D0%BE%D0%BC%D0%BF%D0%B0%D0%BA%D1%82%D0%BD%D0%B8%D0%B9_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%96%D1%80 +
, https://global.dbpedia.org/id/4qP9r +
, http://rdf.freebase.com/ns/m.02pv4_r +
, http://yago-knowledge.org/resource/Limit_point_compact +
, http://dbpedia.org/resource/Limit_point_compact +
|
| rdf:type |
http://dbpedia.org/class/yago/Possession100032613 +
, http://dbpedia.org/class/yago/Abstraction100002137 +
, http://dbpedia.org/class/yago/Relation100031921 +
, http://dbpedia.org/class/yago/Property113244109 +
, http://dbpedia.org/class/yago/WikicatPropertiesOfTopologicalSpaces +
|
| rdfs:comment |
일반위상수학에서 극한점 콤팩트 공간(Limit point compact space, 極限點 compact 空間) 또는 집적점 콤팩트 공간(集積點 compact 空間) 또는 약가산 콤팩트 공간(weakly countably compact space, 弱可算 compact 空間)은 콤팩트 공간의 개념의 변형 가운데 하나이다.
, In mathematics, a topological space X is s … In mathematics, a topological space X is said to be limit point compact or weakly countably compact if every infinite subset of X has a limit point in X. This property generalizes a property of compact spaces. In a metric space, limit point compactness, compactness, and sequential compactness are all equivalent. For general topological spaces, however, these three notions of compactness are not equivalent.notions of compactness are not equivalent.
, Топологічний простір X називається слабко зліченно компактним, якщо кожна нескінченна підмножина X має граничну точку в X.
|
| rdfs:label |
Limit point compact
, Слабко зліченно компактний простір
, 극한점 콤팩트 공간
|
