nLab Bockstein spectral sequence

Idea

A kind of spectral sequence related to the Bockstein homomorphism.

The Bockstein spectral sequence is traditionally defined by an exact couple in a way that does not manifestly come from a filtered chain complex. However there is a way to set it up such that it does appear as the spectral sequence of a filtered complex (Palmieri, section 3.2).

References

• Jerrold Siegel, On the Construction of the Bockstein Spectral Sequence, Transactions of the American Mathematical Society Vol. 210, (Sep., 1975), pp. 203-224 (JSTOR)

• J. Palmieri, A User’s guide to the Bockstein spectral sequence (pdf)