I've learned a bit of bicategories from Jean Bénabou's "Introduction to Bicategories". Now I'm looking for some more comprehensive references concerning this subject this subject. I'm in particular interested the limits, colimits, Yoneda Lemma of bicategories, the structure we can define on the functor category or pseudofunctor category of bicategories, and the model structures on bicategories.
2026-03-29 10:26:42.1774780002
Reference for bicategories
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The recent book 2-Dimensional Categories by Johnson and Yau is a comprehensive introduction to 2-categories and bicategories. I believe it has all the topics you are interested in, save for a discussion of model structures: however, it gives several references to the literature where you can read more about this topic.
One should also mention Lack's A 2-categories companion, which is a more informal introduction, and which covers many of the same topics.