2 citations · 4 across the 3 of their papers we have counts for
5 papers
Gray tensor product and saturated -complicial sets
Viktoriya Ozornova, Martina Rovelli, Dominic Verity
We show that the pretensor and tensor products of simplicial sets with marking are compatible with the homotopy theory of saturated -complicial sets (which are a proposed model…
Fundamental pushouts of n-complicial sets
Viktoriya Ozornova, Martina Rovelli
The paper focuses on investigating how certain relations between strict -categories are preserved in a particular implementation of -categories, given by saturated $…
The Duskin nerve of 2-categories in Joyal's cell category Theta_2
Viktoriya Ozornova, Martina Rovelli
We give an explicit and purely combinatorial description of the Duskin nerve of any (r+1)-point suspension 2-category, and in particular of any 2-category belonging to Joyal's cell…
Nerves of 2-categories and 2-categorification of -categories
Viktoriya Ozornova, Martina Rovelli
We show that the homotopy theory of strict 2-categories embeds in that of -categories in the form of 2-precomplicial sets. More precisely, we construct a nerve-categori…
Weighted limits in an -category
Martina Rovelli
We introduce the notion of weighted limit in an arbitrary quasi-category, suitably generalizing ordinary limits in a quasi-category, and classical weighted limits in an ordinary ca…