nLab Bockstein spectral sequence

Contents

Context

Homological algebra

homological algebra

(also nonabelian homological algebra)

Introduction

Context

Basic definitions

Stable homotopy theory notions

Constructions

Lemmas

diagram chasing

Schanuel's lemma

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)

Last revised on February 4, 2014 at 07:00:42. See the history of this page for a list of all contributions to it.