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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 E_\infty”. Maybe I find time to do a bit more…

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeFeb 9th 2012
    • (edited Feb 9th 2012)
    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeAug 18th 2020

    added ISBN:9780691082066 and doi:10.1515/9781400821259 to:

    diff, v9, current

    • CommentRowNumber4.
    • CommentAuthorHurkyl
    • CommentTimeJul 16th 2022

    A point that confused me for a long time is that the literature about infinite loop spaces isn’t always clear whether or not they are intended to come equipped with a distinguished choice of deloopings.

    As I understand, the equivalences with notions of connective spectra and E∞ groups are only for when you equip infinite loop spaces with a distinguished choice of deloopings, so I’ve added language to that effect.

    Is there standard language for expressing this? My choice of language is to say “infinite loop space with a choice of deloopings” which feels awkward.

    diff, v12, current

  1. Corrected the reference to HA. It previously pointed to the wrong section; now it points to the specific theorem containing Lurie’s formulation of the loop-space principle.

    diff, v13, current