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Also I would imagine there is some relevant prehistory here, such as Simpson’s weak units conjecture, and the analysis of this in dimension 3 by Joyal-Kock. I don’t know how this relates to the development described in the article.
added pointers to
Christoph Dorn, Associative $n$-categories, talk at 103rd Peripatetic Seminar on Sheaves and Logic (pdf)
Christoph Dorn, Associative n-categories PhD thesis (pdf)
added today’s arXiv identifier for
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