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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeFeb 9th 2012
• (edited Feb 9th 2012)

Prompted by an email question that I received, I noted that the entry infinite loop space was (and is) in bad shape.

I have now added some references to it and a sentence including the word “$E_\infty$”. Maybe I find time to do a bit more…

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeFeb 9th 2012
• (edited Feb 9th 2012)

time for a table. I am experimenting with this here:

A-∞ operad A-∞ algebra ∞-group loop space loop space object
E-k operad E-k algebra k-monoidal ∞-group iterated loop space iterated loop space object
E-∞ operad E-∞ algebra abelian ∞-group infinite loop space infinite loop space object
$\simeq$ connective spectrum $\simeq$ connective spectrum object
stabilization spectrum spectrum object

A version of this is currently at infinite loop space, but I think I’ll make it an include-entry now

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeAug 18th 2020