<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://www.w3.org/2000/01/rdf-schema#label>	"Direct sum of topological groups"@en .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Topological_group> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://www.w3.org/2002/07/owl#sameAs>	<https://global.dbpedia.org/id/kkcF> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://www.w3.org/2000/01/rdf-schema#label>	"\u4F4D\u76F8\u7FA4\u306E\u76F4\u548C"@ja .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Category:Topological_groups> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/ontology/abstract>	"\u6570\u5B66\u306B\u304A\u3044\u3066\u4F4D\u76F8\u7FA4 G \u304C\u4E8C\u3064\u306E\u90E8\u5206\u7FA4 H1, H2 \u306E\u4F4D\u76F8\u7684\u76F4\u548C (topological direct sum) \u3067\u3042\u308B\u3068\u306F\u3001\u5199\u50CF \u304C\u4F4D\u76F8\u7FA4\u306E\u540C\u578B\u3067\u3042\u308B\u3068\u304D\u306B\u8A00\u3046\u3002\u3088\u308A\u4E00\u822C\u306B\u3001G \u304C\u305D\u306E\u90E8\u5206\u7FA4\u306E\u6709\u9650\u65CF Hi (i = 1, \u2026, n) \u306E\uFF08\u4F4D\u76F8\u7684\uFF09\u76F4\u548C\u3067\u3042\u308B\u3053\u3068\u306F\u3001\u4F4D\u76F8\u7FA4\u306E\u540C\u578B \u306E\u5B58\u5728\u306B\u3088\u3063\u3066\u5B9A\u3081\u3089\u308C\u308B\u3002 \u6CE8\u4F4D\u76F8\u7FA4 G \u304C\u305D\u306E\u90E8\u5206\u7FA4\u65CF Hi \u306E\u4F4D\u76F8\u7684\u76F4\u548C\u3068\u306A\u308B\u306A\u3089\u3070\u3001G \u306F\u7279\u306B\u62BD\u8C61\u7FA4\u3068\u3057\u3066\uFF08\u3064\u307E\u308A\u4F4D\u76F8\u3092\u8003\u3048\u306A\u3044\u610F\u5473\u3067\uFF09G \u306E\u90E8\u5206\u7FA4\u65CF Hi \u306E\u901A\u5E38\u306E\u76F4\u548C\u3068\u3082\u306A\u3063\u3066\u3044\u308B\u3053\u3068\u306B\u6CE8\u610F\u3059\u3079\u304D\u3067\u3042\u308B\u3002"@ja .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Annotated_link> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/ontology/wikiPageID>	"43854082"^^<http://www.w3.org/2001/XMLSchema#integer> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://www.w3.org/2002/07/owl#sameAs>	<http://www.wikidata.org/entity/Q18206489> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/ontology/wikiPageRevisionID>	"1087197479"^^<http://www.w3.org/2001/XMLSchema#integer> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\u6570\u5B66\u306B\u304A\u3044\u3066\u4F4D\u76F8\u7FA4 G \u304C\u4E8C\u3064\u306E\u90E8\u5206\u7FA4 H1, H2 \u306E\u4F4D\u76F8\u7684\u76F4\u548C (topological direct sum) \u3067\u3042\u308B\u3068\u306F\u3001\u5199\u50CF \u304C\u4F4D\u76F8\u7FA4\u306E\u540C\u578B\u3067\u3042\u308B\u3068\u304D\u306B\u8A00\u3046\u3002\u3088\u308A\u4E00\u822C\u306B\u3001G \u304C\u305D\u306E\u90E8\u5206\u7FA4\u306E\u6709\u9650\u65CF Hi (i = 1, \u2026, n) \u306E\uFF08\u4F4D\u76F8\u7684\uFF09\u76F4\u548C\u3067\u3042\u308B\u3053\u3068\u306F\u3001\u4F4D\u76F8\u7FA4\u306E\u540C\u578B \u306E\u5B58\u5728\u306B\u3088\u3063\u3066\u5B9A\u3081\u3089\u308C\u308B\u3002 \u6CE8\u4F4D\u76F8\u7FA4 G \u304C\u305D\u306E\u90E8\u5206\u7FA4\u65CF Hi \u306E\u4F4D\u76F8\u7684\u76F4\u548C\u3068\u306A\u308B\u306A\u3089\u3070\u3001G \u306F\u7279\u306B\u62BD\u8C61\u7FA4\u3068\u3057\u3066\uFF08\u3064\u307E\u308A\u4F4D\u76F8\u3092\u8003\u3048\u306A\u3044\u610F\u5473\u3067\uFF09G \u306E\u90E8\u5206\u7FA4\u65CF Hi \u306E\u901A\u5E38\u306E\u76F4\u548C\u3068\u3082\u306A\u3063\u3066\u3044\u308B\u3053\u3068\u306B\u6CE8\u610F\u3059\u3079\u304D\u3067\u3042\u308B\u3002"@ja .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://www.w3.org/ns/prov#wasDerivedFrom>	<http://en.wikipedia.org/wiki/Direct_sum_of_topological_groups?oldid=1087197479&ns=0> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Group_isomorphism> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Direct_sum_of_groups> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://www.w3.org/2002/07/owl#sameAs>	<http://rdf.freebase.com/ns/m.011vlqvx> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Subgroup> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Mathematics> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Reflist> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/ontology/abstract>	"In mathematics, a topological group is called the topological direct sum of two subgroups and if the map is a topological isomorphism, meaning that it is a homeomorphism and a group isomorphism."@en .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/ontology/wikiPageLength>	"2762"^^<http://www.w3.org/2001/XMLSchema#nonNegativeInteger> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Homeomorphism> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:TopologicalVectorSpaces> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Functional_Analysis> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://purl.org/dc/terms/subject>	<http://dbpedia.org/resource/Category:Topology> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Unit_circle> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Extension_of_a_topological_group> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Locally_compact_group> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://xmlns.com/foaf/0.1/isPrimaryTopicOf>	<http://en.wikipedia.org/wiki/Direct_sum_of_topological_groups> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://www.w3.org/2000/01/rdf-schema#comment>	"In mathematics, a topological group is called the topological direct sum of two subgroups and if the map is a topological isomorphism, meaning that it is a homeomorphism and a group isomorphism."@en .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://purl.org/dc/terms/subject>	<http://dbpedia.org/resource/Category:Topological_groups> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Category:Topology> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://www.w3.org/2002/07/owl#sameAs>	<http://yago-knowledge.org/resource/Direct_sum_of_topological_groups> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Real_numbers> .
<http://dbpedia.org/resource/Direct_sum_of_topological_groups>	<http://www.w3.org/2002/07/owl#sameAs>	<http://ja.dbpedia.org/resource/\u4F4D\u76F8\u7FA4\u306E\u76F4\u548C> .