16 citations · 42 across the 28 of their papers we have counts for
4 papers · 1 filter
An -categorical pasting theorem
Philip Hackney, Viktoriya Ozornova, Emily Riehl +1
We show that any pasting diagram in any -category has a homotopically unique composite. This is achieved by showing that the free 2-category generated by a pasting sche…
An explicit comparison between -complicial sets and -spaces
Julia E. Bergner, Viktoriya Ozornova, Martina Rovelli
We produce a direct Quillen equivalence between two models of -categories: the complete Segal -spaces due to Rezk and the -complicial sets due to Verity.
Nerves and cones of free loop-free ω-categories
Andrea Gagna, Viktoriya Ozornova, Martina Rovelli
We show that the complicial nerve construction is homotopically compatible with two flavors of cone constructions when starting with an -category that is suitably free and loop-…
Induced model structures for higher categories
Philip Hackney, Martina Rovelli
We give a new criterion guaranteeing existence of model structures left-induced along a functor admitting both adjoints. This works under the hypothesis that the functor induces id…