Atiyah–Hirzebruch spectral sequence

In mathematics, the Atiyah–Hirzebruch spectral sequence is a spectral sequence for calculating generalized cohomology, introduced by Michael Atiyah and Friedrich Hirzebruch (1961) in the special case of topological K-theory. For a CW complex X {\displaystyle X} and a generalized cohomology theory E ∙ {\displaystyle E^{\bullet }} , it relates the generalized cohomology groups E i ( X ) {\displaystyle E^{i}(X)} with 'ordinary' cohomology groups H j {\displaystyle H^{j}} with coefficients in the generalized cohomology of a point.

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