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created Duskin nerve.
Would like to cite page and verse of Duskin’s artcile for where he defines something like the free bicatgeory on a simplex, but don’t appear to have the patience to dig through the document right now.
One takes the 1-category of bicategories and considers the category of simplices as a sub-1-category of category of bicategories. Then use the usual recipe for nerves and you get a Duskin nerve, isn’t it ? Singular functor for this particular embedding…Or I remember something wrong ?
That’s correct.
On which page does he actually say that?
Igor has it in his thesis, and he cites
V. Blanco, M. Bullejos, E. Faro, A Full and faithful Nerve for 2-categories, Applied Categorical Structures, Vol 13-3, 223-233, 2005.
who say they realised post-fact that Duskin got there first, and Street described the effect of the functor on objects.
I’ve added a link to the page as the paper exists in an arxiv form as well. I also added a description of what it gives on strict 2-categories.
Igor was explaining us that in detail
It’s not that I don’t understand the nerve of a bicategory, it is that I want to add the proper citations.
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Duskin had many years of delay with writing due first some loss of one computer manuscript due some accident (secretary error or alike I do not remember the story) long time ago, and then a long delay due stroke which made him hard to write, though his comprehensive results are very old in this subject.
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