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I'm writing something on the notion of map of 2-algebras whose relevant square is a pullback. As far as I know, the only place where this notion is discussed (in the 1-dimensional case) is this n-cafè post of @Tom Leinster's.
Does anynone have any other references to point out, besides this one & the ones cited there?
In case you didn't spot it, Tom wrote up the contents of this blog post in Appendix B of the paper Notions of Möbius inversion.
I didn't! Thanks for the tip