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About: Serre spectral sequence     Goto   Sponge   NotDistinct   Permalink

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Type: softwareyago:WikicatSpectralSequencesyago:Abstraction100002137yago:Arrangement107938773yago:Group100031264yago:Ordering108456993yago:Sequence108459252yago:Series108457976 New Facet based on Instances of this Class

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.