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Nov 8, 2016 at 3:46 comment added john Oops - all that "walking" stuff is a bit confusing. Yes the walking arrow is as you mentioned; the free isomorphism is the groupoid with two objects and a single morphism connecting each pair of objects in it.
Aug 4, 2016 at 3:00 comment added user84563 Also, is the "free isomorphism" the groupoid with two objects? Sorry I'm not familiar with some terminology.
Aug 4, 2016 at 2:44 comment added user84563 For clarification: you write "with M locally presentable as a 2-category (just amounts to its underlying category being locally presentable and it has cotensors with the walking arrow 2 - equally it is complete as a 2-category." Is the walking arrow the category $0\rightarrow 1$? Also is the property of being locally presentable and having cotensors with the walking arrow category equivalent to being complete as a 2-category?
May 14, 2015 at 18:34 review Suggested edits
May 14, 2015 at 18:45
May 14, 2015 at 13:10 history answered john CC BY-SA 3.0