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Results tagged with spectral-sequences
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user 23571
8
votes
Accepted
Cup product of cohomology in a Serre spectral sequence
Maybe the simplest example is the following. There are two fiber bundles with base and fiber both $S^2$. One is the product $S^2\times S^2$ and the other consists of two copies of the mapping cylinder …
- 20k
1
vote
Multiplicative structure in the cohomological Leray-Serre spectral sequence - please elucida...
If it's commutativity of the diagram at the bottom of page 26 that you are worried about, this is just a formality. For convenience, insert another arrow into the diagram going from the middle group …
- 20k
48
votes
Spectral sequences: opening the black box slowly with an example
Two simple examples with lots of interesting differentials are given by the Serre spectral sequences for integer homology (rather than cohomology) for the fibrations $$K({\mathbb Z}_2,1) \to K({\mathb …
- 20k
11
votes
Accepted
Convergence of spectral sequences of cohomological type
The lemma you refer to has two halves. The first half covers the case of homology and the second half covers the case of cohomology. Proofs are given for both halves (though the last sentence of the …
- 20k