nLab chromatic spectral sequence

Idea

A chromatic spectral sequence is a spectral sequence of a filtered stable homotopy type for the case of a filtering given by a chromatic tower. (Wilson 13)

This is a type of spectral sequence useful for computing the $E^1$-term in an Adams-Novikov spectral sequence. The traditional formulation is due to Doug Ravenel.

Related concepts

tower diagram/filtering	spectral sequence of a filtered stable homotopy type
filtered chain complex	spectral sequence of a filtered complex
Postnikov tower	Atiyah-Hirzebruch spectral sequence
chromatic tower	chromatic spectral sequence
skeleta of simplicial object	spectral sequence of a simplicial stable homotopy type
skeleta of Sweedler coring of E-∞ algebra	Adams spectral sequence
filtration by support	…
slice filtration	slice spectral sequence

References

A review/introduction of the traditional account is around prop. 1.4.8 of

• Doug Ravenel, Complex cobordism and stable homotopy groups of spheres

more is in chapter 5, section 1 there.

The formulation in terms of the spectral sequence of a filtered stable homotopy type is in

• Dylan WilsonSpectral Sequences from Sequences of Spectra: Towards the

  Spectrum of the Category of Spectra_ lecture at 2013 Pre-Talbot Seminar (pdf)

See also

• Wikipedia, Chromatic spectral sequence