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Jul 12, 2016 at 23:59 history edited Mike Shulman CC BY-SA 3.0
more missing "symmetric"s.
Jul 12, 2016 at 17:09 comment added Bruno Stonek Thanks. One more question: when you say "Similarly, a strong symmetric monoidal morphism..." you mean a strong symmetric morphism of symmetric pseudomonoids, right? (I believe a couple of "symmetric" are still missing in that last part, by the way!). Sorry for the silly questions, I haven't dealt with these concepts before.
Jul 11, 2016 at 22:48 history edited Mike Shulman CC BY-SA 3.0
added missing adjectives "symmetric"
Jul 11, 2016 at 22:47 comment added Mike Shulman Yes, a symmetric pseudomonoid, fixed. I've never heard anyone say "lax transformation" in the monoidal case; monoidal functors can be lax or oplax, but there is no room for monoidal transformations to be lax or oplax; they are just monoidal. Here I'm talking about (op)lax transformations between 2-functors.
Jul 11, 2016 at 18:19 comment added Bruno Stonek Thanks a lot for your reply. I'm a bit confused by your last paragraph. When you say "a lax symmetric monoidal functor can be identified with a pseudomonoid", do you mean a symmetric pseudomonoid? What do you mean by "oplax transformation" in this context? (I'm only aware of (op)lax transformations between (op)lax monoidal functors between monoidal categories)
Jul 1, 2016 at 4:50 history answered Mike Shulman CC BY-SA 3.0