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Nov 3, 2022 at 14:22 comment added user43326 Presumably you can find reference somewhere, but I don't know where. Yes, the Kunneth theorem is just the case when the spectral sequence degenerates. Just consider spectral sequences as a generalizaion of long exact sequences, and see what you can do with an appropriate long exact sequence when $N=2$ (and what gets messed up by torsion).
Nov 2, 2022 at 0:48 comment added Mohammad Farajzadeh-Tehrani Is this spectral sequence discussed somewhere? Is it possible to prove Kunneth theorem using that?
Nov 1, 2022 at 9:24 comment added user43326 In general you won't get an isomorphism (for the reason you mentioned) but just a spectral sequence.
Oct 28, 2022 at 18:43 history edited LSpice CC BY-SA 4.0
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Oct 28, 2022 at 18:39 history asked Mohammad Farajzadeh-Tehrani CC BY-SA 4.0