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| has gloss | eng: In mathematics, the Serre spectral sequence (sometimes Leray-Serre spectral sequence to acknowledge earlier work of Jean Leray in the Leray spectral sequence) is a basic tool of algebraic topology. It expresses, in the language of homological algebra the singular (co)homology of the total space E 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 (Serre's thesis). |
| lexicalization | eng: Serre spectral sequence |
| instance of | c/Spectral sequences |
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| Chinese | |
| has gloss | zho: 在数学中,塞尔谱序列(),有时为了纪念让·勒雷早先的工作称为勒雷-塞尔谱序列(),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 的奇异(上)同调表示为底空间 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。 |
| lexicalization | zho: 塞尔谱序列 |
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