Update on formal anafunctors

After some very helpful comments, I have managed to finish updating my paper on formal anafunctors (original release announcement post) and have now sent it back to the journal. The length increased by about 60%, as I had missed including the proof that the associator isomorphisms were natural (7 pages! Including the diagram in this post) and that middle-four interchange holds. The referee also pointed out that the covering maps don’t really form a subcanonical pretopology, but something a bit weaker, and this weaker notion is all I use. It wasn’t so much a matter of tweaking the definition, but recognising the weakness of the definition.

So here it is: The elementary construction of formal anafunctors, arXiv:1808.04552.

For amusement, two of the new diagrams…

Now I need to write the cospans paper

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