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In mathematics, the chromatic spectral sequence is a
spectral sequence In homological algebra and algebraic topology, a spectral sequence is a means of computing homology groups by taking successive approximations. Spectral sequences are a generalization of exact sequences, and since their introduction by , they hav ...
, introduced by , used for calculating the initial term of the Adams spectral sequence for Brown–Peterson cohomology, which is in turn used for calculating the
stable homotopy groups of spheres In the mathematical field of algebraic topology, the homotopy groups of spheres describe how spheres of various dimensions can wrap around each other. They are examples of topological invariants, which reflect, in algebraic terms, the structure ...
.


See also

* Chromatic homotopy theory * Adams-Novikov spectral sequence * p-local spectrum


References

* * Spectral sequences {{topology-stub