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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.
There was an issue. It may be solved now, but please wait until further notice before editing. Apologies for inconvenience.
Issue should be fixed now. I was working on something and broke everything temporarily in the process.
Great, thanks.
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