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Results tagged with spectral-sequences
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user 8032
5
votes
Construction of Serre Spectral Sequence
I wanted to post the following as a comment, but it's too long.
It might help to realize where the differential comes from. Let $p: E \to B$ be a Hurewicz fibration. Assume $B$ is a connected CW com …
- 18.5k
6
votes
Homology spectral sequence for function space
Let $X$ be a simplicial set and $Y$ a space (or simplicial set) . Then $F_\ast(X,Y)$ is a cosimplicial space and we can consider its homology spectral sequence. Bousfield gave conditions for when this …
- 18.5k
5
votes
Proof of the ''trangression theorem''
They are equal up to sign.
If $F\to E\to B$ is a Hurewicz fibration, where $B$ is well-pointed, then we have a factorization $E\to E/F \to B$ and we have the Barratt-Puppe extension $E/F \to \Sigma …
- 18.5k