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1. • CommentRowNumber1.
   • CommentAuthorMike Shulman
   • CommentTimeJan 18th 2019
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexI got a 500 Internal Server Error trying to save the page [[duoidal category]]. I wanted to add some more details to the references as follows: * [[Marcelo Aguiar]] and [[Swapneel Mahajan]], *Monoidal Functors, Species and Hopf Algebras*, [pdf](http://www.math.cornell.edu/~maguiar/a.pdf). Here the notion is called a "2-monoidal category". * [[Richard Garner]], _Understanding the small object argument_, [arXiv](http://arxiv.org/abs/0712.0724). Here the notion is called a "2-fold monoidal category", although [[iterated monoidal category|that term]] is also used for the case when the two units coincide. * [[Michael Batanin]] and [[Martin Markl]], _Centers and homotopy centers in enriched monoidal categories._ Advances in Mathematics 230 , 4-6 (2012), 1811–1858. Here apparently the term "duoidal category" was introduced. * [[Richard Garner]], [[Ignacio López Franco]], _Commutativity_, [arXiv](http://arxiv.org/abs/1507.08710). See also _Commutativity and tensor products of theories, monads, and operads_, talk at CT2013, [slides](https://www.dpmms.cam.ac.uk/~ill20/ct2013-talk.pdf) * Zoran Petri&#263; and [[Todd Trimble]] 2014, _Symmetric bimonoidal intermuting categories and $\omega \times \omega$ reduced bar constructions_, Applied Categorical Structures 22(3): 467-499, [arXiv:0906.2954](http://arxiv.org/abs/0906.2954) On going back and canceling the edit, I got XML Parsing Error: junk after document element Location: https://ncatlab.org/nlab/cancel_edit/duoidal+category Line Number 4, Column 1: <p><a href="https://ncatlab.org/nlab/show/HomePage">nLab home page</a></p> ^ and then again when trying to view the page to see if my edit took. But after a few seconds when I tried again I was able to view the page, and I see that my edit did not take.

   I got a 500 Internal Server Error trying to save the page duoidal category. I wanted to add some more details to the references as follows:

   • Marcelo Aguiar and Swapneel Mahajan, Monoidal Functors, Species and Hopf Algebras, pdf. Here the notion is called a “2-monoidal category”.

   • Richard Garner, Understanding the small object argument, arXiv. Here the notion is called a “2-fold monoidal category”, although that term is also used for the case when the two units coincide.

   • Michael Batanin and Martin Markl, Centers and homotopy centers in enriched monoidal categories. Advances in Mathematics 230 , 4-6 (2012), 1811–1858. Here apparently the term “duoidal category” was introduced.

   • Richard Garner, Ignacio López Franco, Commutativity, arXiv. See also Commutativity and tensor products of theories, monads, and operads, talk at CT2013, slides

   • Zoran Petrić and Todd Trimble 2014, Symmetric bimonoidal intermuting categories and $\omega \times \omega$ reduced bar constructions, Applied Categorical Structures 22(3): 467-499, arXiv:0906.2954

   On going back and canceling the edit, I got

   XML Parsing Error: junk after document element
   Location: https://ncatlab.org/nlab/cancel_edit/duoidal+category Line Number 4, Column 1:
   <p><a href="https://ncatlab.org/nlab/show/HomePage">nLab home page</a></p>
   ^
   

   and then again when trying to view the page to see if my edit took. But after a few seconds when I tried again I was able to view the page, and I see that my edit did not take.

2. • CommentRowNumber2.
   • CommentAuthorRichard Williamson
   • CommentTimeJan 18th 2019
   • PermaLink
   Author: Richard Williamson
   Format: MarkdownItexThere was an issue. It may be solved now, but please wait until further notice before editing. Apologies for inconvenience.

   There was an issue. It may be solved now, but please wait until further notice before editing. Apologies for inconvenience.

3. • CommentRowNumber3.
   • CommentAuthorRichard Williamson
   • CommentTimeJan 18th 2019
   • PermaLink
   Author: Richard Williamson
   Format: MarkdownItexIssue should be fixed now. I was working on something and broke everything temporarily in the process.

   Issue should be fixed now. I was working on something and broke everything temporarily in the process.

4. • CommentRowNumber4.
   • CommentAuthorMike Shulman
   • CommentTimeJan 19th 2019
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexGreat, thanks.

   Great, thanks.