spectral sequence in a sentence

Examples

1. This is now called the Brown Gersten spectral sequence.
2. A very common type of spectral sequence comes from a filtered cochain complex.
3. To get a spectral sequence, we will reduce to the previous example.
4. This is the content of the Adams spectral sequence.
5. For a basic example, see Bockstein spectral sequence.
6. Zigzag persistence may turn out to be of theoretical importance to spectral sequences.
7. In other words, the spectral sequence should satisfy
8. Then there is a spectral sequence of cohomological type
9. It is evident to mathematicians that persistent homology is closely related to spectral sequences.
10. This follows from the Atiyah Hirzebruch spectral sequence.