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math.AT2022
A homotopy coherent nerve for -categories
Lyne Moser, Nima Rasekh, Martina Rovelli
In the case of -categories, the homotopy coherent nerve gives a right Quillen equivalence between the models of simplicially enriched categories and of quasi-categories…
math.AT2022
Model independence of -categorical nerves
Lyne Moser, Viktoriya Ozornova, Martina Rovelli
For most models of -categories an embedding of the -category of 2-categories into that of -categories has been constructed in the form of a nerve co…