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chromatic spectral sequence

Contents

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 1E^1-term in an Adams-Novikov spectral sequence. The traditional formulation is due to Doug Ravenel.

tower diagram/filteringspectral sequence of a filtered stable homotopy type
filtered chain complexspectral sequence of a filtered complex
Postnikov towerAtiyah-Hirzebruch spectral sequence
chromatic towerchromatic spectral sequence
skeleta of simplicial objectspectral sequence of a simplicial stable homotopy type
skeleta of Sweedler coring of E-∞ algebraAdams spectral sequence
filtration by support
slice filtrationslice spectral sequence

References

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

more is in chapter 5, section 1 there.

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

See also

Last revised on April 25, 2017 at 11:18:41. See the history of this page for a list of all contributions to it.