16 citations · 42 across the 28 of their papers we have counts for
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A model structure on prederivators for -categories
Daniel Fuentes-Keuthan, Magdalena Kedziorek, Martina Rovelli
By theorems of Carlson and Renaudin, the theory of -categories embeds in that of prederivators. The purpose of this paper is to give a two-fold answer to the inverse pr…
2-Segal objects and the Waldhausen construction
Julia E. Bergner, Angélica M. Osorno, Viktoriya Ozornova +2
In a previous paper, we showed that a discrete version of the -construction gives an equivalence of categories between unital 2-Segal sets and augmented stable double ca…
Model structures for -categories on (pre)stratified simplicial sets and prestratified simplicial spaces
Viktoriya Ozornova, Martina Rovelli
We prove the existence of a model structure on the category of stratified simplicial sets whose fibrant objects are precisely -complicial sets, which are a proposed model for $(…
The edgewise subdivision criterion for 2-Segal objects
Julia E. Bergner, Angélica M. Osorno, Viktoriya Ozornova +2
We show that the edgewise subdivision of a -Segal object is always a Segal object, and furthermore that this property characterizes -Segal objects.