# Start a new discussion

## Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

## Site Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeNov 11th 2009

created (finally) lax monoidal functor (redirecting monoidal functor to that) and strong monoidal functor.

Hope I got the relation to 2-functors right. I remember there was some subtlety to be aware of, but I forget which one. I could look it up, but I guess you can easily tell me.

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeNov 11th 2009

Ah, I thought better of it and have everything now just at monoidal functor

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeJun 8th 2016

The definition at monoidal functor used to be stated without the associators, but then there were a dozen lines of commentary on how to put them in.

Now I have just put them in. :-)

• CommentRowNumber4.
• CommentAuthorPeter Heinig
• CommentTimeJul 18th 2017
• (edited Jul 18th 2017)

Is the definition of lax monoidal functor between monoidal bicategories in the sense of Gordon–Power–Street already documented on the nLab?

Remarks. monoidal functor appears to be about monoidal categories only. Motivation is partly studying Chapter 13 of Garner–Shulman Adv Math 289.

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeJul 18th 2017
• (edited Jul 18th 2017)

Is the definition of lax monoidal functor between monoidal bicategories in the sense of Gordon–Power–Street already documented on the nLab?

It seems that this is not the case.

monoidal functor appears to be about monoidal categories only.

And that’s how it should be. The concept for monoidal 2-categories should go under monoidal 2-functor.

• CommentRowNumber6.
• CommentAuthorvarkor
• CommentTimeSep 19th 2021

Define strict monoidal functors. There is an existing redirect for this term, but it was not defined.

• CommentRowNumber7.
• CommentAuthorUrs
• CommentTimeSep 19th 2021
• (edited Sep 19th 2021)

replaced “identities” with “identity morphisms” (here)

• Please log in or leave your comment as a "guest post". If commenting as a "guest", please include your name in the message as a courtesy. Note: only certain categories allow guest posts.
• To produce a hyperlink to an nLab entry, simply put double square brackets around its name, e.g. [[category]]. To use (La)TeX mathematics in your post, make sure Markdown+Itex is selected below and put your mathematics between dollar signs as usual. Only a subset of the usual TeX math commands are accepted: see here for a list.

• (Help)