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1. • CommentRowNumber1.
   • CommentAuthoradeelkh
   • CommentTimeFeb 6th 2014
   • (edited Feb 6th 2014)
   • PermaLink
   Author: adeelkh
   Format: MarkdownItexI 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 * [[Moritz Groth]], _A short course on infinity-categories_, [pdf](http://www.math.ru.nl/~mgroth/preprints/groth_scinfinity.pdf). (and also to [[E-infinity-ring]]).

   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

   • Moritz Groth, A short course on infinity-categories, pdf.

   (and also to E-infinity-ring).

2. • CommentRowNumber2.
   • CommentAuthoradeelkh
   • CommentTimeFeb 6th 2014
   • PermaLink
   Author: adeelkh
   Format: MarkdownItexAlso noticed that we have two different pages [[commutative ring spectrum]] and [[E-infinity-ring]]...

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

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeFeb 6th 2014
   • PermaLink
   Author: Urs
   Format: MarkdownItexHere 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.

   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.

4. • CommentRowNumber4.
   • CommentAuthoradeelkh
   • CommentTimeFeb 6th 2014
   • (edited Feb 6th 2014)
   • PermaLink
   Author: adeelkh
   Format: MarkdownItex(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?

   (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?

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeJul 18th 2015
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to * [[Thomas Nikolaus]], [[Steffen Sagave]], _Presentably symmetric monoidal infinity-categories are represented by symmetric monoidal model categories_ ([arXiv:1506.01475](http://arxiv.org/abs/1506.01475)) both to _[[symmetric monoidal (infinity,1)-category]]_ and to _[[monoidal model category]]_.

   added pointer to

   • Thomas Nikolaus, Steffen Sagave, Presentably symmetric monoidal infinity-categories are represented by symmetric monoidal model categories (arXiv:1506.01475)

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

6. • CommentRowNumber6.
   • CommentAuthorAli Caglayan
   • CommentTimeSep 27th 2018
   • PermaLink
   Author: Ali Caglayan
   Format: MarkdownItexI 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?

   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?