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Results tagged with spectral-sequences
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user 4194
11
votes
What are some good examples of spectral sequences which degenerate after the first nontrivia...
The Serre spectral sequence for the path-loop fibration for an $n$-sphere is a positive answer to question 1, a negative answer to question 2. More generally, a fibration in which either the base or t …
4
votes
Accepted
Adams spectral sequence and short exact sequences. Some clarifications
The red dot in (3,0) comes from a map $\Sigma^3 D \to \mathbb{F}_2$, and this map is the image of a map $\mathbb{R}P^\infty \to \mathbb{F}_2$, so it goes to zero under the coboundary map. This agrees …
- 4,254
8
votes
Accepted
Spectral sequence in Adams's book, Theorem 8.2
This is not a complete answer, but it is too long for a comment. I will assume you are interested in the spectral sequences in Section 8 of Adams, not the Atiyah-Hirzebruch spectral sequences of Secti …
- 4,254