Timeline for Is there any significance to Bousfield localization in the non-derived context?
Current License: CC BY-SA 4.0
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Nov 15, 2018 at 9:11 | comment | added | Tyler Lawson | @TimCampion Sorry that I didn't see this. Yes, but I think the fact that "completion is an instance of Bousfield localization" is something that's a little surprising when first encountered and really requires something derived. | |
Oct 17, 2018 at 19:19 | comment | added | Tim Campion | Interesting, thanks! Unless I'm mistaken, the class of abelian groups which are local with respect to all maps $A \to B$ such that $A_{(p)} \to B_{(p)}$ is an isomorphism is precisely the $\mathbb Z_{(p)}$-modules, which makes this example look closer to the derived analog. But I believe the class of abelian groups which are local with respect to all maps $A \to B$ such that $A/p \to B/p$ is an isomorphism is just the $\mathbb Z/p$-modules, which looks further from the derived analog. | |
Oct 17, 2018 at 9:16 | history | answered | Tyler Lawson | CC BY-SA 4.0 |