##  [Spectral Sequence Construction](/index.php/spectral-sequence-construction) 

  ##  [Spectral Sequence Construction](https://algebra.quantumdictionary.io/spectral-sequence-construction-0) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/index.php/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The mechanism that produces a sequence of pages (E_r, d_r) from a filtered complex, exact couple, or filtered object and relates successive pages by differentials so that their stable limit approximates or computes the desired homology or cohomology; in practice it is a bookkeeping and convergence tool for successive approximations.