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Adams spectral sequence

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Adams spectral sequence

spectral sequence that computes the stable homotopy groups of topological spaces

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About Adams spectral sequence

In mathematics, the Adams spectral sequence is a spectral sequence introduced by J. Frank Adams which computes the stable homotopy groups of topological spaces. Like all spectral sequences, it is a computational tool; it relates homology theory to what is now called stable homotopy theory. It is a reformulation using homological algebra, and an extension, of a technique called 'killing homotopy groups' applied by the French school of Henri Cartan and Jean-Pierre Serre.

Facts from Wikidata (CC0). Image by Allen Hatcher via Wikimedia Commons (CC BY 4.0).

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