Timeline for What is the group completion of finite sets with respect to cartesian product?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Apr 20 at 13:43 | comment | added | John Rognes | Here is a link to Tornehave's preprint: mn.uio.no/math/personer/vit/rognes/articles/tornehave/… . See Theorem 6.1 in the case where S is the set of natural numbers. | |
| Mar 28 at 6:09 | vote | accept | Tim Campion | ||
| Mar 27 at 17:34 | history | edited | LSpice | CC BY-SA 4.0 |
`{gp}` -> `\text{gp}`, and other minor tidying
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| Mar 27 at 17:25 | comment | added | John Rognes | A published reference for this is the example after Corollary VII.5.4, on pages 199-200, in May, Quinn, Ray and Tornehave's E_\infty-book math.uchicago.edu/~may/BOOKS/e_infty.pdf , which explains this special case due to Tornehave. More generally, for a submonoid M of Z_{>0} each path component of the multiplicative group completion of \coprod_{m \in M} B\Sigma_m is the localization of SF = SG = SL_1(S) = \Omega^\infty_1(S) at (alias away from) M. If M = Z_{>0}, this is the rationalization of a connected torsion space, i.e., a point. | |
| Mar 27 at 17:07 | history | edited | Tyler Lawson | CC BY-SA 4.0 |
added 34 characters in body
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| Mar 27 at 16:57 | history | answered | Tyler Lawson | CC BY-SA 4.0 |