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    • CommentRowNumber1.
    • CommentAuthoradeelkh
    • CommentTimeFeb 6th 2014
    • (edited Feb 6th 2014)

    I added the comment

    Equivalently, a symmetric monoidal (∞,1)-category is a commutative algebra in an (infinity,1)-category in the (infinity,1)-category of (infinity,1)-categories.

    to the introduction of symmetric monoidal (infinity,1)-category. I hope that’s correct…

    I also added the reference

    (and also to E-infinity-ring).

    • CommentRowNumber2.
    • CommentAuthoradeelkh
    • CommentTimeFeb 6th 2014

    Also noticed that we have two different pages commutative ring spectrum and E-infinity-ring

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeFeb 6th 2014

    Here the idea should be that the former entry is more about the models, whereas the latter is about the general infty-categorical concept. But if itdoes ot work out of course the we might want to merge them.

    • CommentRowNumber4.
    • CommentAuthoradeelkh
    • CommentTimeFeb 6th 2014
    • (edited Feb 6th 2014)

    (I guess you mean the other way around.) So commutative algebra in an (infinity,1)-category is the general concept, and E-infinity ring is the special case where the (infinity,1)-category is Spt = Stab(Spc). Should commutative ring spectrum be something in the middle, e.g. commutative algebra objects in the stabilization of some (infinity,1)-category, maybe?

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJul 18th 2015

    added pointer to

    both to symmetric monoidal (infinity,1)-category and to monoidal model category.

    • CommentRowNumber6.
    • CommentAuthorAli Caglayan
    • CommentTimeSep 27th 2018

    I am quoting the page

    This can be understood as a special case of an (∞,1)-operad (…to be expanded on…)

    Did anyone ever get round to adding this?