nLab
Serre 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

The Serre spectral sequence or Leray-Serre spectral sequence is a spectral sequence for computation of singular homology of topological spaces in a Serre-fiber sequence of topological spaces.

References

The original article is

  • Jean-Pierre Serre, Homologie singuliére des espaces fibrés Applications, Ann. of Math. 54 (1951),

A textbook account is for instance in

Discussion in homotopy type theory includes

Revised on November 2, 2014 17:21:09 by Urs Schreiber (185.26.182.38)