Re: Examples of symmetric monoidal bicategories

[krenickr@cs.man.ac.uk]

Thanks a lot for the examples everyone!
Roman

> Dear all,
>
> I'm looking for examples of symmetric monoidal bicategories (where the
> structure is genuinely weak, i.e. the various isomorphisms are not
> identities) and I would appreciate some help. -- Actually, strict
> 2-categories with (genuinely) weak monoidal structure would be even more
> interesting, but I found it almost impossible to find anything on that.
>
> As I am using these categories as models, I need some structure that is
> "concrete enough" to do calculations with (while being as simple as
> possible).
>
> Right now I'm considering the bicategory of rings (or monoids or
> fields), bimodules over them, and bimodule homomorphisms, where the
> monoidal structure is defined by the tensor product etc. (Pointers to
> detailed accounts of this category would be very much appreciated, too.
> I've only found fairly sketchy mentions in the literature.)
>
> I would be grateful about any other examples of this kind!
>
> Thanks,
> Roman
>



[For admin and other information see: http://www.mta.ca/~cat-dist/ ]