http://dbpedia.org/ontology/abstract
|
En géométrie différentielle, un fibré associé est un fibré qui est induit par un -fibré principal et une action du groupe structurel sur un espace auxiliaire.
, En matemáticas, la teoría de los fibrados con un G (un grupo topológico) permite una operación de creación de un fibrado asociado, en el cual la fibra típica de un fibrado cambia de F1 a F2, que son ambos espacios topológicos con una acción de grupo de G.
, 在数学中,带有结构群 G(拓扑群)的纤维丛理论允许产生一个配丛(associated bundle)的操作,将丛的典型纤维由 F1 变成 F2,两者都是具有群 G 作用的拓扑空间。对具有结构群 G 的纤维丛 F,纤维在两个局部坐标系 Uα 与 Uβ 交集上的转移函数(即上链)由一个 Uα∩Uβ 上 G-值函数 gαβ 给出。我们可以构造一个纤维丛 F′ 有同样的转移函数,但可能具有不同的纤维。
, In mathematics, the theory of fiber bundle … In mathematics, the theory of fiber bundles with a structure group (a topological group) allows an operation of creating an associated bundle, in which the typical fiber of a bundle changes from to , which are both topological spaces with a group action of . For a fiber bundle F with structure group G, the transition functions of the fiber (i.e., the ) in an overlap of two coordinate systems Uα and Uβ are given as a G-valued function gαβ on Uα∩Uβ. One may then construct a fiber bundle F′ as a new fiber bundle having the same transition functions, but possibly a different fiber.functions, but possibly a different fiber.
, 위상수학에서 연관 다발(聯關-, 영어: associated bundle)은 위상군의 작용을 갖는 위상 공간 및 같은 위상군에 대한 주다발로부터 구성되는, 전자를 올로 갖는 올다발이다.
|
http://dbpedia.org/ontology/wikiPageExternalLink
|
https://archive.org/details/topologyoffibreb0000stee +
|
http://dbpedia.org/ontology/wikiPageID
|
398874
|
http://dbpedia.org/ontology/wikiPageLength
|
10696
|
http://dbpedia.org/ontology/wikiPageRevisionID
|
1124638317
|
http://dbpedia.org/ontology/wikiPageWikiLink
|
http://dbpedia.org/resource/Fiber_bundle +
, http://dbpedia.org/resource/Orthogonal_group +
, http://dbpedia.org/resource/Topological_space +
, http://dbpedia.org/resource/M%C3%B6bius_strip +
, http://dbpedia.org/resource/Cyclic_group +
, http://dbpedia.org/resource/Spinor_bundle +
, http://dbpedia.org/resource/Transformation_group +
, http://dbpedia.org/resource/Cocycle_%28algebraic_topology%29 +
, http://dbpedia.org/resource/Locally_trivial +
, http://dbpedia.org/resource/Open_cover +
, http://dbpedia.org/resource/Descent_%28category_theory%29 +
, http://dbpedia.org/resource/Quotient_space_%28topology%29 +
, http://dbpedia.org/resource/Category:Differential_geometry +
, http://dbpedia.org/resource/Frobenius_theorem_%28differential_topology%29 +
, http://dbpedia.org/resource/Whitney_sum +
, http://dbpedia.org/resource/Category:Fiber_bundles +
, http://dbpedia.org/resource/Topological_group +
, http://dbpedia.org/resource/Principal_bundle +
, http://dbpedia.org/resource/Transition_map +
, http://dbpedia.org/resource/Vector_bundle +
, http://dbpedia.org/resource/General_linear_group +
, http://dbpedia.org/resource/Fiber_bundle_construction_theorem +
, http://dbpedia.org/resource/Group_action_%28mathematics%29 +
, http://dbpedia.org/resource/Tangent_bundle +
, http://dbpedia.org/resource/Fibre_product +
, http://dbpedia.org/resource/Principal_homogeneous_space +
, http://dbpedia.org/resource/Category:Differential_topology +
, http://dbpedia.org/resource/Well-defined +
, http://dbpedia.org/resource/Foliation +
, http://dbpedia.org/resource/Isomorphism +
, http://dbpedia.org/resource/Structure_group +
, http://dbpedia.org/resource/Bundle_map +
, http://dbpedia.org/resource/Mathematics +
, http://dbpedia.org/resource/Functor +
, http://dbpedia.org/resource/Category:Algebraic_topology +
|
http://dbpedia.org/property/wikiPageUsesTemplate
|
http://dbpedia.org/resource/Template:Details +
, http://dbpedia.org/resource/Template:Cite_book +
, http://dbpedia.org/resource/Template:Manifolds +
, http://dbpedia.org/resource/Template:Reflist +
|
http://purl.org/dc/terms/subject
|
http://dbpedia.org/resource/Category:Algebraic_topology +
, http://dbpedia.org/resource/Category:Differential_geometry +
, http://dbpedia.org/resource/Category:Fiber_bundles +
, http://dbpedia.org/resource/Category:Differential_topology +
|
http://www.w3.org/ns/prov#wasDerivedFrom
|
http://en.wikipedia.org/wiki/Associated_bundle?oldid=1124638317&ns=0 +
|
http://xmlns.com/foaf/0.1/isPrimaryTopicOf
|
http://en.wikipedia.org/wiki/Associated_bundle +
|
owl:sameAs |
http://es.dbpedia.org/resource/Fibrado_asociado +
, http://yago-knowledge.org/resource/Associated_bundle +
, http://fr.dbpedia.org/resource/Fibr%C3%A9_associ%C3%A9 +
, http://ko.dbpedia.org/resource/%EC%97%B0%EA%B4%80_%EB%8B%A4%EB%B0%9C +
, http://rdf.freebase.com/ns/m.023lxf +
, http://www.wikidata.org/entity/Q427018 +
, https://global.dbpedia.org/id/3x6ki +
, http://dbpedia.org/resource/Associated_bundle +
, http://zh.dbpedia.org/resource/%E9%85%8D%E4%B8%9B +
|
rdf:type |
http://dbpedia.org/class/yago/PhysicalEntity100001930 +
, http://dbpedia.org/class/yago/BodyPart105220461 +
, http://dbpedia.org/class/yago/Part109385911 +
, http://dbpedia.org/class/yago/NervousTissue105296775 +
, http://dbpedia.org/class/yago/FiberBundle105475681 +
, http://dbpedia.org/class/yago/AnimalTissue105267548 +
, http://dbpedia.org/class/yago/Thing100002452 +
, http://dbpedia.org/class/yago/Tissue105267345 +
, http://dbpedia.org/class/yago/WikicatFiberBundles +
|
rdfs:comment |
En géométrie différentielle, un fibré associé est un fibré qui est induit par un -fibré principal et une action du groupe structurel sur un espace auxiliaire.
, En matemáticas, la teoría de los fibrados con un G (un grupo topológico) permite una operación de creación de un fibrado asociado, en el cual la fibra típica de un fibrado cambia de F1 a F2, que son ambos espacios topológicos con una acción de grupo de G.
, In mathematics, the theory of fiber bundle … In mathematics, the theory of fiber bundles with a structure group (a topological group) allows an operation of creating an associated bundle, in which the typical fiber of a bundle changes from to , which are both topological spaces with a group action of . For a fiber bundle F with structure group G, the transition functions of the fiber (i.e., the ) in an overlap of two coordinate systems Uα and Uβ are given as a G-valued function gαβ on Uα∩Uβ. One may then construct a fiber bundle F′ as a new fiber bundle having the same transition functions, but possibly a different fiber.functions, but possibly a different fiber.
, 위상수학에서 연관 다발(聯關-, 영어: associated bundle)은 위상군의 작용을 갖는 위상 공간 및 같은 위상군에 대한 주다발로부터 구성되는, 전자를 올로 갖는 올다발이다.
, 在数学中,带有结构群 G(拓扑群)的纤维丛理论允许产生一个配丛(associated bundle)的操作,将丛的典型纤维由 F1 变成 F2,两者都是具有群 G 作用的拓扑空间。对具有结构群 G 的纤维丛 F,纤维在两个局部坐标系 Uα 与 Uβ 交集上的转移函数(即上链)由一个 Uα∩Uβ 上 G-值函数 gαβ 给出。我们可以构造一个纤维丛 F′ 有同样的转移函数,但可能具有不同的纤维。
|
rdfs:label |
Associated bundle
, 配丛
, Fibrado asociado
, Fibré associé
, 연관 다발
|