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Nov 23, 2014 at 16:54 comment added Marc Hoyois What I mean by $\phi$-completion here is the inverse limit of the $cofib(\phi^n)$. For example, if $\phi$ is multiplication by $p$ on $\mathbb{Z}$, you get $\mathbb{Z}_p$.
Nov 23, 2014 at 6:48 comment added მამუკა ჯიბლაძე Thank you for the extended answer! One question - I somehow thought that lim-inversion and $\phi$-completion are more or less the same thing?
Nov 22, 2014 at 0:15 vote accept მამუკა ჯიბლაძე
Nov 21, 2014 at 23:48 history answered Marc Hoyois CC BY-SA 3.0