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Statements

Subject Item
dbr:Serre_spectral_sequence
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Serre spectral sequence 塞尔谱序列
rdfs:comment
In mathematics, the Serre spectral sequence (sometimes Leray–Serre spectral sequence to acknowledge earlier work of Jean Leray in the Leray spectral sequence) is an important tool in algebraic topology. It expresses, in the language of homological algebra, the singular (co)homology of the total space X of a (Serre) fibration in terms of the (co)homology of the base space B and the fiber F. The result is due to Jean-Pierre Serre in his doctoral dissertation. 在数学中,塞尔谱序列(Serre spectral sequence),有时为了纪念让·勒雷早先的工作称为勒雷-塞尔谱序列(Leray-Serre spectral sequence),是代数拓扑学中的基本工具。它用同调代数的语言将一个(塞尔)纤维化的全空间 E 的表示为 B 和纤维 F 的(上)同调。此结论属于让-皮埃尔·塞尔的博士论文。
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In mathematics, the Serre spectral sequence (sometimes Leray–Serre spectral sequence to acknowledge earlier work of Jean Leray in the Leray spectral sequence) is an important tool in algebraic topology. It expresses, in the language of homological algebra, the singular (co)homology of the total space X of a (Serre) fibration in terms of the (co)homology of the base space B and the fiber F. The result is due to Jean-Pierre Serre in his doctoral dissertation. 在数学中,塞尔谱序列(Serre spectral sequence),有时为了纪念让·勒雷早先的工作称为勒雷-塞尔谱序列(Leray-Serre spectral sequence),是代数拓扑学中的基本工具。它用同调代数的语言将一个(塞尔)纤维化的全空间 E 的表示为 B 和纤维 F 的(上)同调。此结论属于让-皮埃尔·塞尔的博士论文。
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