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Mar 10, 2023 at 14:30 comment added R. van Dobben de Bruyn Ah, very nice. I guess the point is that Pontryagin duality shows $\mathbf{TorsAb} \simeq \mathbf{ProFinAb}^{\text{op}}$, and the latter has a symmetric monoidal structure given by completed tensor product with unit $\hat{\mathbf Z}$.
Mar 10, 2023 at 11:17 comment added Neil Strickland @R.vanDobbendeBruyn I have edited the answer to address this
Mar 10, 2023 at 11:17 history edited Neil Strickland CC BY-SA 4.0
Add proof that Tor is associative
Mar 9, 2023 at 15:20 comment added R. van Dobben de Bruyn What is the associator for $\operatorname{Tor}$? I can maybe convince myself that $\operatorname{Tor}(\operatorname{Tor}(A,B),C)$ and $\operatorname{Tor}(A,\operatorname{Tor}(B,C))$ are pointwise isomorphic, but naturally?
Mar 9, 2023 at 13:43 history answered Neil Strickland CC BY-SA 4.0