nLab
Bockstein spectral sequence

Context

Homological algebra

homological algebra

and

nonabelian homological algebra

Context

Basic definitions

Stable homotopy theory notions

Constructions

Lemmas

diagram chasing

Homology theories

Theorems

Contents

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)

Revised on February 4, 2014 07:00:42 by Urs Schreiber (82.113.106.62)