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#serre_spectral_sequence

Serre spectral sequence

In mathematics, the Serre 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.

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Serre spectral sequence Spectral sequence Lyndon–Hochschild–Serre spectral sequence Leray spectral sequence Fibration Exact couple List of things named after Jean-Pierre Serre Atiyah–Hirzebruch spectral sequence Inflation-restriction exact sequence Gysin homomorphism
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