2 citations · 6 across the 12 of their papers we have counts for
23 papers
About the contractibility of the walking coinductive equivalence
Viktoriya Ozornova, Martina Rovelli, Tashi Walde
We study the marked simplicial set obtained as the Roberts-Street nerve of the walking coinductive equivalence. We show that it is a non-contractible saturated complicial set for w…
Cores and localizations of -categories
Viktoriya Ozornova, Martina Rovelli, Tashi Walde
We consider -categories in the limit via the core or localization functors that forget or invert higher non-invertible arrows, respectively. We compare th…
-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…
Waldhausen's -construction
Viktoriya Ozornova, Martina Rovelli
This note is an expository contribution for a proceedings volume of the workshop "Higher Segal Spaces and their Applications to Algebraic K-theory, Hall Algebras, and Combinatorics…
A model for the coherent walking -equivalence
Amar Hadzihasanovic, Félix Loubaton, Viktoriya Ozornova +1
We prove that a certain -category, which was constructed in previous work by the third and fourth author, is a model for the fully coherent walking -equivalence. Further, app…
What is an equivalence in a higher category?
Viktoriya Ozornova, Martina Rovelli
The purpose of this survey is to present in a uniform way the notion of equivalence between strict -categories or -categories, and inside a strict -category o…