Timeline for How should I think about delooping?
Current License: CC BY-SA 2.5
5 events
when toggle format | what | by | license | comment | |
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Oct 9, 2010 at 21:13 | history | edited | Kevin H. Lin | CC BY-SA 2.5 |
added 37 characters in body
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Oct 8, 2010 at 22:56 | comment | added | Mike Shulman | (The linked article simplifies the situation by mentioning only connected spaces, which are of course automatically grouplike.) | |
Oct 8, 2010 at 22:54 | comment | added | Mike Shulman | That's not exactly right as stated -- to be a loop space X has to not only be an algebra over an $A_\infty$ operad, but must also be grouplike, i.e. $\pi_0$ of it is a group (under the monoid operation induced by the $A_\infty$ structure). Otherwise $\Omega B X$ is only a "group completion" of X. | |
Oct 8, 2010 at 21:38 | vote | accept | Aaron Mazel-Gee | ||
Oct 8, 2010 at 17:25 | history | answered | Kevin H. Lin | CC BY-SA 2.5 |