2 citations · 4 across the 4 of their papers we have counts for
10 papers · 1 filter
-categories in context
Viktoriya Ozornova, Martina Rovelli
This note is a contribution written for the second volume of the Encyclopedia of mathematical physics. We give an informal introduction to the notions of an -category a…
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.
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…